Pub Date : 2022-09-26DOI: 10.1080/25765299.2022.2127458
Ahmed Bouchenak, M. Al Horani, J. A. Younis, R. Khalil, Mohamed A. Abd El salam
Abstract We extend several fractional Laplace transform results to matrix-valued functions in this paper, which we will utilize to obtain some useful and valuable theorems, like results on the set of the piecewise continuous functions with conformable exponential order and the low and conditions to obtain the fractional Laplace transform of matrix-valued functions. As an application, we apply the obtained theorems to solve certain fractional initial value problems for vector-valued and matrix-valued functions and the solution will be victor or matrix and it will exact. Also, we establish a fractional system transfer matrix and the conformable fractional Laplace transform of the conformable exponential matrix function, which will give us directly the exact solution for a precisely type of fractional initial value problems.
{"title":"Fractional Laplace transform for matrix valued functions with applications","authors":"Ahmed Bouchenak, M. Al Horani, J. A. Younis, R. Khalil, Mohamed A. Abd El salam","doi":"10.1080/25765299.2022.2127458","DOIUrl":"https://doi.org/10.1080/25765299.2022.2127458","url":null,"abstract":"Abstract We extend several fractional Laplace transform results to matrix-valued functions in this paper, which we will utilize to obtain some useful and valuable theorems, like results on the set of the piecewise continuous functions with conformable exponential order and the low and conditions to obtain the fractional Laplace transform of matrix-valued functions. As an application, we apply the obtained theorems to solve certain fractional initial value problems for vector-valued and matrix-valued functions and the solution will be victor or matrix and it will exact. Also, we establish a fractional system transfer matrix and the conformable fractional Laplace transform of the conformable exponential matrix function, which will give us directly the exact solution for a precisely type of fractional initial value problems.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"330 - 336"},"PeriodicalIF":0.0,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42980757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-26DOI: 10.1080/25765299.2022.2126588
Talia Serseg, K. Benarous, Menaouar Serseg, H. M. Rehman, Y. El Bakri, S. Goumri‐Said
Abstract The black fungus is a SARS-CoV-2-associated fungal co-infection. Mechanisms by which antifungal drugs act against Mucormycosis are by inhibition of enzymes implicated in ergosterol biosynthesis or cell wall formation or the drug interaction directly with ergosterol. Since it has been shown that the reduction of ergosterol biosynthesis prevents this infection, we carried out a virtual screening with molecular docking analysis and tested a dataset of 880 molecules for its effects on an enzyme involved in ergosterol biosynthesis (CYP51) and fungal infection (lipase), as well as ADMET and toxicity properties of the studied molecules. We calculated the stability of the complex’s inhibitor-enzyme throughout the time using molecular dynamics simulations. From this, initial screening indicated that 600 out of a total of 880 compounds have a good affinity towards sterol 14α-demethylase. The two compounds ZINC95486139 and ZINC33833639 were determined as safe and have good drug-likeness properties, and have binding energies of −75.07 and −83.89 kcal/mol, respectively by MMGBSA and create strong and stable interactions with the residues of the active site of the enzyme. To the best of our knowledge, ZINC95486139 and ZINC33833639 have not yet been described in the literature as anti-sterol 14α-demethylase inhibitors or evaluated for their anti-fungal activity.
{"title":"Discovery of inhibitors against SARS-CoV-2 associated fungal coinfections via virtual screening, ADMET evaluation, PASS, molecular docking, dynamics and pharmacophore studies","authors":"Talia Serseg, K. Benarous, Menaouar Serseg, H. M. Rehman, Y. El Bakri, S. Goumri‐Said","doi":"10.1080/25765299.2022.2126588","DOIUrl":"https://doi.org/10.1080/25765299.2022.2126588","url":null,"abstract":"Abstract The black fungus is a SARS-CoV-2-associated fungal co-infection. Mechanisms by which antifungal drugs act against Mucormycosis are by inhibition of enzymes implicated in ergosterol biosynthesis or cell wall formation or the drug interaction directly with ergosterol. Since it has been shown that the reduction of ergosterol biosynthesis prevents this infection, we carried out a virtual screening with molecular docking analysis and tested a dataset of 880 molecules for its effects on an enzyme involved in ergosterol biosynthesis (CYP51) and fungal infection (lipase), as well as ADMET and toxicity properties of the studied molecules. We calculated the stability of the complex’s inhibitor-enzyme throughout the time using molecular dynamics simulations. From this, initial screening indicated that 600 out of a total of 880 compounds have a good affinity towards sterol 14α-demethylase. The two compounds ZINC95486139 and ZINC33833639 were determined as safe and have good drug-likeness properties, and have binding energies of −75.07 and −83.89 kcal/mol, respectively by MMGBSA and create strong and stable interactions with the residues of the active site of the enzyme. To the best of our knowledge, ZINC95486139 and ZINC33833639 have not yet been described in the literature as anti-sterol 14α-demethylase inhibitors or evaluated for their anti-fungal activity.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"337 - 350"},"PeriodicalIF":0.0,"publicationDate":"2022-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46686522","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-24DOI: 10.1080/25765299.2022.2124754
Ayman Abd-Elhamed, M. Fathy, K. M. Abdelgaber
Abstract Novel closed-form solutions of the dynamic vibration equations of seismically excited structures are derived by using the Laplace transform. Structures with single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) are considered and modelled as lumped mass systems. Several earthquake records with different peak ground accelerations (PGAs) are used to excite such systems. To be compared, time-history responses are obtained numerically by using Newmark’s step-by-step iteration method and analytically by the proposed approach. After conducting such comparisons, the proposed approach successfully computes the exact responses of seismically excited structures.
{"title":"Closed-form solutions of dynamic vibration equations of seismically excited structures","authors":"Ayman Abd-Elhamed, M. Fathy, K. M. Abdelgaber","doi":"10.1080/25765299.2022.2124754","DOIUrl":"https://doi.org/10.1080/25765299.2022.2124754","url":null,"abstract":"Abstract Novel closed-form solutions of the dynamic vibration equations of seismically excited structures are derived by using the Laplace transform. Structures with single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) are considered and modelled as lumped mass systems. Several earthquake records with different peak ground accelerations (PGAs) are used to excite such systems. To be compared, time-history responses are obtained numerically by using Newmark’s step-by-step iteration method and analytically by the proposed approach. After conducting such comparisons, the proposed approach successfully computes the exact responses of seismically excited structures.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"318 - 329"},"PeriodicalIF":0.0,"publicationDate":"2022-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49466365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-09-14DOI: 10.1080/25765299.2022.2119685
A. Adnan, Amir Ali
Abstract In this article, a mathematical model of COVID-19 is investigated using the Atangana–Baleanu in sense of Caputo fractional operator. Mathematical analysis and modeling has led the results (allow policymakers to understand and predicts the dynamics of infectious disease under several different scenarios) about various nonpharmaceutical involvements to restrict the spread of pandemic disease worldwide. The present investigation meant to study worldwide research activity on mathematical modeling of spread and control of several infectious diseases with a known history of serious outbreaks. The existence of a unique solution is studied using a fixed point theorems. The stability of the solution is carried out through the concept of Ulam–Hyers stability. The considered model is computationally analyzed through the Adams–Bashforth technique. A fresh investigation with the proposed epidemic model is brought and the obtain results are define using plots which shows the performance of the classes of the consider model. The results show that the proposed scheme is very insistent and obvious to operate for the system of nonlinear equations. One can see a quick stability of all the compartments as the order decrease to noninteger values as compared to integer-order θ = 1. All theoretical results are simulated and validated through numerical simulations.
{"title":"Investigation of time-fractional mathematical model of COVID-19 with nonsingular kernel","authors":"A. Adnan, Amir Ali","doi":"10.1080/25765299.2022.2119685","DOIUrl":"https://doi.org/10.1080/25765299.2022.2119685","url":null,"abstract":"Abstract In this article, a mathematical model of COVID-19 is investigated using the Atangana–Baleanu in sense of Caputo fractional operator. Mathematical analysis and modeling has led the results (allow policymakers to understand and predicts the dynamics of infectious disease under several different scenarios) about various nonpharmaceutical involvements to restrict the spread of pandemic disease worldwide. The present investigation meant to study worldwide research activity on mathematical modeling of spread and control of several infectious diseases with a known history of serious outbreaks. The existence of a unique solution is studied using a fixed point theorems. The stability of the solution is carried out through the concept of Ulam–Hyers stability. The considered model is computationally analyzed through the Adams–Bashforth technique. A fresh investigation with the proposed epidemic model is brought and the obtain results are define using plots which shows the performance of the classes of the consider model. The results show that the proposed scheme is very insistent and obvious to operate for the system of nonlinear equations. One can see a quick stability of all the compartments as the order decrease to noninteger values as compared to integer-order θ = 1. All theoretical results are simulated and validated through numerical simulations.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"307 - 317"},"PeriodicalIF":0.0,"publicationDate":"2022-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42517398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-30DOI: 10.1080/25765299.2022.2115688
B. Falodun, E. O. Ige
Abstract The focus of this paper is to conduct research on MHD Casson-Williamson nanofluids flow over an inclined plate with the influence of thermal radiation and Soret-Dufour mechanisms using spectral collocation and statistical analysis. The simultaneous flow of Casson-Williamson non-Newtonian fluids in the presence of a magnetic field, Joule heating, chemical reaction, and viscous dissipation is modelled by utilizing partial differential equations (PDEs). These equations were transformed into coupled nonlinear ordinary differential equations by using an appropriate similarity variable. A numerical and statistical analysis was performed on the transformed equations to obtain significant effects of flow parameters on velocity, temperature, and concentration distributions. An increase in the value of the thermal radiation is observed to increase the fluid temperature, thermal condition, and thermal boundary layer thickness. An increased value of magnetic parameter was observed to decrease the fluid velocity. Due to a magnetic field and the dynamic plastic viscosity, the hydrodynamic boundary layer was observed to decline due to an increase in Casson parameter. The present study was compared with studies in the literature and found in good agreement.
{"title":"Linear and quadratic multiple regressions analysis on magneto-thermal and chemical reactions on the Casson-Williamson nanofluids boundary layer flow under Soret-Dufour mechanism","authors":"B. Falodun, E. O. Ige","doi":"10.1080/25765299.2022.2115688","DOIUrl":"https://doi.org/10.1080/25765299.2022.2115688","url":null,"abstract":"Abstract The focus of this paper is to conduct research on MHD Casson-Williamson nanofluids flow over an inclined plate with the influence of thermal radiation and Soret-Dufour mechanisms using spectral collocation and statistical analysis. The simultaneous flow of Casson-Williamson non-Newtonian fluids in the presence of a magnetic field, Joule heating, chemical reaction, and viscous dissipation is modelled by utilizing partial differential equations (PDEs). These equations were transformed into coupled nonlinear ordinary differential equations by using an appropriate similarity variable. A numerical and statistical analysis was performed on the transformed equations to obtain significant effects of flow parameters on velocity, temperature, and concentration distributions. An increase in the value of the thermal radiation is observed to increase the fluid temperature, thermal condition, and thermal boundary layer thickness. An increased value of magnetic parameter was observed to decrease the fluid velocity. Due to a magnetic field and the dynamic plastic viscosity, the hydrodynamic boundary layer was observed to decline due to an increase in Casson parameter. The present study was compared with studies in the literature and found in good agreement.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"8 7","pages":"269 - 286"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41276259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-30DOI: 10.1080/25765299.2022.2117677
Olayinka O. Tolu-Bolaji, S. Sojinu, Adebola P. Okedere, O. Ajani
Abstract Benzodiazepines are an important class of heterocyclic compounds in organic chemistry. They are known for their diverse physicochemical and biological properties. Some benzodiazepine derivates are well-known drugs with diverse and strong pharmacophoric moiety. An immense number of pharmacological research on benzodiazepine heterocycles and their derivatives have recently been conducted to explore its numerous pharmacological potentials as better therapeutic candidates for the treatment of various disorders, benzodiazepines, however, are one of the main sources of interest for many medicinal chemists. Researchers are drawn to the benzodiazepine nucleus for the synthesis of new drugs because of its potent pharmacophoric moiety and ring shape. Due to the emergence of new pathogenic strains’ resistance to the presently available drugs, there has been a constant demand for more effective and selective drugs. Benzodiazepine moiety has all the desired qualities for selective drug candidates used as useful therapeutic agents. Given the importance of benzodiazepine moiety, the current review aims to assess benzodiazepine syntheses as well as their pharmacological properties for potential molecular targets in therapeutic development.
{"title":"A review on the chemistry and pharmacological properties of benzodiazepine motifs in drug design","authors":"Olayinka O. Tolu-Bolaji, S. Sojinu, Adebola P. Okedere, O. Ajani","doi":"10.1080/25765299.2022.2117677","DOIUrl":"https://doi.org/10.1080/25765299.2022.2117677","url":null,"abstract":"Abstract Benzodiazepines are an important class of heterocyclic compounds in organic chemistry. They are known for their diverse physicochemical and biological properties. Some benzodiazepine derivates are well-known drugs with diverse and strong pharmacophoric moiety. An immense number of pharmacological research on benzodiazepine heterocycles and their derivatives have recently been conducted to explore its numerous pharmacological potentials as better therapeutic candidates for the treatment of various disorders, benzodiazepines, however, are one of the main sources of interest for many medicinal chemists. Researchers are drawn to the benzodiazepine nucleus for the synthesis of new drugs because of its potent pharmacophoric moiety and ring shape. Due to the emergence of new pathogenic strains’ resistance to the presently available drugs, there has been a constant demand for more effective and selective drugs. Benzodiazepine moiety has all the desired qualities for selective drug candidates used as useful therapeutic agents. Given the importance of benzodiazepine moiety, the current review aims to assess benzodiazepine syntheses as well as their pharmacological properties for potential molecular targets in therapeutic development.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"287 - 306"},"PeriodicalIF":0.0,"publicationDate":"2022-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46392405","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-25DOI: 10.1080/25765299.2022.2113497
A. Rehman, Ivan Kyrchei, Israr Ali Khan, Muhammad Nasir, Imran Ali
Abstract Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper. We give the necessary and sufficient conditions for the existence of its solution by applying the properties of matrix rank. The general solution to this system is expressed by closed formula based on generalized inverses of given matrices. The novelty of the proposed results is not only obtaining a formal representation of the solution in terms of generalized inverses but the construction of an algorithm to find its explicit expression as well. To conduct an algorithm and numerical example, it is used the determinantal representations of the Moore Penrose inverse previously obtained by one of the authors.
{"title":"Closed-form formula for a classical system of matrix equations","authors":"A. Rehman, Ivan Kyrchei, Israr Ali Khan, Muhammad Nasir, Imran Ali","doi":"10.1080/25765299.2022.2113497","DOIUrl":"https://doi.org/10.1080/25765299.2022.2113497","url":null,"abstract":"Abstract Keeping in view the latest development of anti-Hermitian matrix in mind, we construct some closed form formula for a classical system of matrix equations having anti-Hermitian nature in this paper. We give the necessary and sufficient conditions for the existence of its solution by applying the properties of matrix rank. The general solution to this system is expressed by closed formula based on generalized inverses of given matrices. The novelty of the proposed results is not only obtaining a formal representation of the solution in terms of generalized inverses but the construction of an algorithm to find its explicit expression as well. To conduct an algorithm and numerical example, it is used the determinantal representations of the Moore Penrose inverse previously obtained by one of the authors.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"258 - 268"},"PeriodicalIF":0.0,"publicationDate":"2022-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46858664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-23DOI: 10.1080/25765299.2022.2112646
Asmat Batool, Imran Talib, M. Riaz, C. Tunç
Abstract Our main concern in this study is to present the generalized results to investigate the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. The framework of the presented results relies on the lower and upper solutions approach which allows us to ensure the existence of solutions in a sector defined by well-ordered coupled lower and upper solutions. It is worth mentioning that the presented results unify the existence criteria of certain problems which were treated on a case-by-case basis in the literature. Two examples are supplied to support the results.
{"title":"Extension of lower and upper solutions approach for generalized nonlinear fractional boundary value problems","authors":"Asmat Batool, Imran Talib, M. Riaz, C. Tunç","doi":"10.1080/25765299.2022.2112646","DOIUrl":"https://doi.org/10.1080/25765299.2022.2112646","url":null,"abstract":"Abstract Our main concern in this study is to present the generalized results to investigate the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. The framework of the presented results relies on the lower and upper solutions approach which allows us to ensure the existence of solutions in a sector defined by well-ordered coupled lower and upper solutions. It is worth mentioning that the presented results unify the existence criteria of certain problems which were treated on a case-by-case basis in the literature. Two examples are supplied to support the results.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"249 - 256"},"PeriodicalIF":0.0,"publicationDate":"2022-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47068791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-08-13DOI: 10.1080/25765299.2022.2104224
D. A. Pratama, Maharani A. Bakar, N. B. Ismail, Mashuri M
Abstract Traditionally, partial differential equation (PDE) problems are solved numerically through a discretization process. Iterative methods are then used to determine the algebraic system generated by this process. Recently, scientists have emerged artificial neural networks (ANNs), which solve PDE problems without a discretization process. Therefore, in view of the interest in developing ANN in solving PDEs, scientists investigated the variations of ANN which perform better than the classical discretization approaches. In this study, we discussed three methods for solving PDEs effectively, namely Pydens, NeuroDiffEq and Nangs methods. Pydens is the modified Deep Galerkin method (DGM) on the part of the approximate functions of PDEs. Then, NeuroDiffEq is the ANN model based on the trial analytical solution (TAS). Lastly, Nangs is the ANN-based method which uses the grid points for the training data. We compared the numerical results by solving the PDEs in terms of the accuracy and efficiency of the three methods. The results showed that NeuroDiffeq and Nangs have better performance in solving high-dimensional PDEs than the Pydens, while Pydens is only suitable for low-dimensional problems.
{"title":"ANN-based methods for solving partial differential equations: a survey","authors":"D. A. Pratama, Maharani A. Bakar, N. B. Ismail, Mashuri M","doi":"10.1080/25765299.2022.2104224","DOIUrl":"https://doi.org/10.1080/25765299.2022.2104224","url":null,"abstract":"Abstract Traditionally, partial differential equation (PDE) problems are solved numerically through a discretization process. Iterative methods are then used to determine the algebraic system generated by this process. Recently, scientists have emerged artificial neural networks (ANNs), which solve PDE problems without a discretization process. Therefore, in view of the interest in developing ANN in solving PDEs, scientists investigated the variations of ANN which perform better than the classical discretization approaches. In this study, we discussed three methods for solving PDEs effectively, namely Pydens, NeuroDiffEq and Nangs methods. Pydens is the modified Deep Galerkin method (DGM) on the part of the approximate functions of PDEs. Then, NeuroDiffEq is the ANN model based on the trial analytical solution (TAS). Lastly, Nangs is the ANN-based method which uses the grid points for the training data. We compared the numerical results by solving the PDEs in terms of the accuracy and efficiency of the three methods. The results showed that NeuroDiffeq and Nangs have better performance in solving high-dimensional PDEs than the Pydens, while Pydens is only suitable for low-dimensional problems.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"233 - 248"},"PeriodicalIF":0.0,"publicationDate":"2022-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42882513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-07-12DOI: 10.1080/25765299.2022.2093033
A. A. Abiodun, A. I. Ishaq
Abstract The development of new generalizations based on certain baseline probability distribution has become one of the current trends in distribution theory literature. New generators are often required to define wider distributions for modelling real life data. In this study, we proposed and studied a new generalization of Maxwell and Lomax distributions using the T-X method. Several structural and statistical properties of the proposed distribution were obtained such as moments, quantile function, survival and hazard functions, skewness, kurtosis and order statistics. The method of maximum likelihood estimation (MLE) was used to estimate the parameters of the proposed distribution. In addition, a simulation study was conducted to evaluate the performance of the MLE method. The proposed distribution was applied to two real life datasets to illustrate its flexibility. It was found that the proposed distribution was superior to offer a better fit than the other competing extensions of Lomax distributions considered in the study.
{"title":"On Maxwell–Lomax distribution: properties and applications","authors":"A. A. Abiodun, A. I. Ishaq","doi":"10.1080/25765299.2022.2093033","DOIUrl":"https://doi.org/10.1080/25765299.2022.2093033","url":null,"abstract":"Abstract The development of new generalizations based on certain baseline probability distribution has become one of the current trends in distribution theory literature. New generators are often required to define wider distributions for modelling real life data. In this study, we proposed and studied a new generalization of Maxwell and Lomax distributions using the T-X method. Several structural and statistical properties of the proposed distribution were obtained such as moments, quantile function, survival and hazard functions, skewness, kurtosis and order statistics. The method of maximum likelihood estimation (MLE) was used to estimate the parameters of the proposed distribution. In addition, a simulation study was conducted to evaluate the performance of the MLE method. The proposed distribution was applied to two real life datasets to illustrate its flexibility. It was found that the proposed distribution was superior to offer a better fit than the other competing extensions of Lomax distributions considered in the study.","PeriodicalId":37239,"journal":{"name":"Arab Journal of Basic and Applied Sciences","volume":"29 1","pages":"221 - 232"},"PeriodicalIF":0.0,"publicationDate":"2022-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45131528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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