Pub Date : 2022-01-01DOI: 10.22075/IJNAA.2022.5777
Raad A. Hameed, Faez N. Ghaffoori, H. Mustafa, Wafaa M. Taha, Maan A. Rasheed
Throughout this manuscript, we show time periodic solutions to a linear diffusion parabolic equation with Diriclet condition. Based on the topological degree theorem, we prove a time periodic solutions of the system such that we found the fixed point when the domain of the solution is sufficiently small.
{"title":"Using Leray-Schauder topological degree to solve a linear diffusion parabolic equation with periodic initial conditions","authors":"Raad A. Hameed, Faez N. Ghaffoori, H. Mustafa, Wafaa M. Taha, Maan A. Rasheed","doi":"10.22075/IJNAA.2022.5777","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5777","url":null,"abstract":"Throughout this manuscript, we show time periodic solutions to a linear diffusion parabolic equation with Diriclet condition. Based on the topological degree theorem, we prove a time periodic solutions of the system such that we found the fixed point when the domain of the solution is sufficiently small.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1629-1635"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68128130","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5553
Saif Adnan Salman, Emad H. Aboudi
Most time series are characterized in practice that they consist of two components, linear and non-linear, and when making predictions, the single models are not sufficient to model these series. Recently several linear, non-linear and hybrid models have been proposed for prediction, In this research, a new hybrid model was proposed based on the combination of the linear model Auto-Regressive Fractionally Integrated Moving Average (ARFIMA) with the non-linear model fuzzy time series model (FTS). The proposed hybrid model analyzes the linear component of the specified time series using the ARFIMA model, calculates the estimated values, and then calculates the residuals for this model by subtracting the estimated values from the original time series. The nonlinear component is analyzed using the (FTS) model for the computed residuals, which inherently contain the nonlinear patterns of the time series. The final values for the prediction by applying the} {hybrid model (ARFIMA-FTS) are obtained by combining the predictions of the (ARFIMA) model of the original series with the predictions of the model (FTS) for the residual series. The new hybrid model was used to predict those infected with the Covid-19 virus in Iraq for the period from 24/2/2020 to 11/8/2021. The proposed model was more efficient in the prediction process than the single (ARFIMA) model using a number of comparison criteria, including (RMSE), (MAPE) and (MAE). The final results showed that the proposed model has the ability to predict time series that contain linear and nonlinear components
{"title":"A hybrid ARFIMA-fuzzy time series (FTS) model for forecasting daily cases of Covid-19 in Iraq","authors":"Saif Adnan Salman, Emad H. Aboudi","doi":"10.22075/IJNAA.2022.5553","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5553","url":null,"abstract":"Most time series are characterized in practice that they consist of two components, linear and non-linear, and when making predictions, the single models are not sufficient to model these series. Recently several linear, non-linear and hybrid models have been proposed for prediction, In this research, a new hybrid model was proposed based on the combination of the linear model Auto-Regressive Fractionally Integrated Moving Average (ARFIMA) with the non-linear model fuzzy time series model (FTS). The proposed hybrid model analyzes the linear component of the specified time series using the ARFIMA model, calculates the estimated values, and then calculates the residuals for this model by subtracting the estimated values from the original time series. The nonlinear component is analyzed using the (FTS) model for the computed residuals, which inherently contain the nonlinear patterns of the time series. The final values for the prediction by applying the} {hybrid model (ARFIMA-FTS) are obtained by combining the predictions of the (ARFIMA) model of the original series with the predictions of the model (FTS) for the residual series. The new hybrid model was used to predict those infected with the Covid-19 virus in Iraq for the period from 24/2/2020 to 11/8/2021. The proposed model was more efficient in the prediction process than the single (ARFIMA) model using a number of comparison criteria, including (RMSE), (MAPE) and (MAE). The final results showed that the proposed model has the ability to predict time series that contain linear and nonlinear components","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"627-641"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125356","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5600
Ayman S. Qaddoori, J. H. Saud
Bubble sizes are generated by micro-bubble generators (MBGs) in the water for their effect on the percentage of dissolved oxygen in the water and we find this in aquaculture where oxygen is important to marine life and in many applications. And since these bubbles range in size from 20 to 50, we need to highlight the shape of the bubble and distinguish it, so two Sobel algorithms were used and the Canny method was improved and compared between them, where the edge detection algorithm is sensitive to noise, and therefore, it is easy to lose weak edge information when filtering noise, and it appears ts fixed parameters are weak adaptability. In response to these problems, this paper proposed an improved algorithm based on the Canny algorithm. This algorithm introduced the concept of gravitational field strength to replace the image gradient and obtained the gravitational field strength factor. Two methods for choosing the adaptive threshold based on the average image gradation The size and standard deviation of two types of model images (one containing less edge information, the other containing rich edge information) were subtracted, respectively. The improved Canny algorithm is simple and easy to achieve. Experimental results show that the algorithm can retain more useful information and is more robust in the face of noise.
{"title":"Comparison of edge discrimination of microbubbles between Sobel and improved mathematics of Canny edge detection","authors":"Ayman S. Qaddoori, J. H. Saud","doi":"10.22075/IJNAA.2022.5600","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5600","url":null,"abstract":"Bubble sizes are generated by micro-bubble generators (MBGs) in the water for their effect on the percentage of dissolved oxygen in the water and we find this in aquaculture where oxygen is important to marine life and in many applications. And since these bubbles range in size from 20 to 50, we need to highlight the shape of the bubble and distinguish it, so two Sobel algorithms were used and the Canny method was improved and compared between them, where the edge detection algorithm is sensitive to noise, and therefore, it is easy to lose weak edge information when filtering noise, and it appears ts fixed parameters are weak adaptability. In response to these problems, this paper proposed an improved algorithm based on the Canny algorithm. This algorithm introduced the concept of gravitational field strength to replace the image gradient and obtained the gravitational field strength factor. Two methods for choosing the adaptive threshold based on the average image gradation The size and standard deviation of two types of model images (one containing less edge information, the other containing rich edge information) were subtracted, respectively. The improved Canny algorithm is simple and easy to achieve. Experimental results show that the algorithm can retain more useful information and is more robust in the face of noise.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"7 1","pages":"817-829"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125221","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5541
Harisudha Kuresan, Dhanalakshmi Samiappan
Parkinson's Disease (PD) is a neurodegenerative disorder that affects predominantly neurons in the brain. The main purpose of this paper is to define a way in detecting the PD in its early stages. This has been achieved through the use of recorded speech, a biomarker in the natural environment in its original state. In this paper, the Mel-Frequency Cepstral Coefficients (MFCC) method is utilized to extract features from the recorded speech. The principal component analysis (PCA) and Genetic algorithm (GA) are then applied for feature extraction/selection. Once the features are selected, multiple classifiers are then applied for classification. Performance metrics such as accuracy, specificity, and sensitivity are measured. The result shows that Support Vector Machine (SVM) along with the GA has shown optimal performance.
{"title":"Genetic algorithm and principal components analysis in speech-based parkinson's early diagnosis studies","authors":"Harisudha Kuresan, Dhanalakshmi Samiappan","doi":"10.22075/IJNAA.2022.5541","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5541","url":null,"abstract":"Parkinson's Disease (PD) is a neurodegenerative disorder that affects predominantly neurons in the brain. The main purpose of this paper is to define a way in detecting the PD in its early stages. This has been achieved through the use of recorded speech, a biomarker in the natural environment in its original state. In this paper, the Mel-Frequency Cepstral Coefficients (MFCC) method is utilized to extract features from the recorded speech. The principal component analysis (PCA) and Genetic algorithm (GA) are then applied for feature extraction/selection. Once the features are selected, multiple classifiers are then applied for classification. Performance metrics such as accuracy, specificity, and sensitivity are measured. The result shows that Support Vector Machine (SVM) along with the GA has shown optimal performance.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"591-602"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125252","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5611
Suheir K. Romani, Roadh R. Yousif, Hadiya H. Matrood
With the repeated values, that the factorial experiments will be in three nested factors. And, the third factor is presented by experimental units (subjects). The repeated values or the experimental unit treatments definitely can be taken. These treatments can be dealt with as a fourth factor. Actually, these kinds of experiments have been analyzed in factorial ways, which are presented by the F test. That can be taken place in the condition of variance analysis to the repeated values experiments and in case there is no condition fitting in, we may use non-factorial ways which are presented by shifting into ranks. Therefore, the aim of this research is to make an analyzed study for this kind of factorial ways or non-factorial. This kind of experiment can be applied to Thalassemia in Thi-Qar province.
{"title":"Analyzing the factorial experiments variances with the repeated values in a practical application","authors":"Suheir K. Romani, Roadh R. Yousif, Hadiya H. Matrood","doi":"10.22075/IJNAA.2022.5611","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5611","url":null,"abstract":"With the repeated values, that the factorial experiments will be in three nested factors. And, the third factor is presented by experimental units (subjects). The repeated values or the experimental unit treatments definitely can be taken. These treatments can be dealt with as a fourth factor. Actually, these kinds of experiments have been analyzed in factorial ways, which are presented by the F test. That can be taken place in the condition of variance analysis to the repeated values experiments and in case there is no condition fitting in, we may use non-factorial ways which are presented by shifting into ranks. Therefore, the aim of this research is to make an analyzed study for this kind of factorial ways or non-factorial. This kind of experiment can be applied to Thalassemia in Thi-Qar province.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"921-936"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125428","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5609
A. Majeed
In this work, an environmental and epidemiological model has been formulated and analyzed, where it was assumed that there is a disease in the predator society of an incurable type and does not give the predator immunity that leads to the death of the affected predator in the end. On the other hand, it has been assumed that a healthy predator is only capable of predation according to a functional response ~Holling type -- IV, Also, two types of factors are considered behavior against predation and the group's defence to formulate our proposed model. In addition, immigration was taken into consideration for prey society, mathematically and biologically acceptable equilibrium points for this model were found, as well, these points were studied analytically and numerically to know the effect especially, the emigration and behavior against predation to keep both the two types.
{"title":"Qualitative study of an eco-epidemiological model with anti-predator and migration presence","authors":"A. Majeed","doi":"10.22075/IJNAA.2022.5609","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5609","url":null,"abstract":"In this work, an environmental and epidemiological model has been formulated and analyzed, where it was assumed that there is a disease in the predator society of an incurable type and does not give the predator immunity that leads to the death of the affected predator in the end. On the other hand, it has been assumed that a healthy predator is only capable of predation according to a functional response ~Holling type -- IV, Also, two types of factors are considered behavior against predation and the group's defence to formulate our proposed model. In addition, immigration was taken into consideration for prey society, mathematically and biologically acceptable equilibrium points for this model were found, as well, these points were studied analytically and numerically to know the effect especially, the emigration and behavior against predation to keep both the two types.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"889-899"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125342","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 : 2022-01-01DOI: 10.22075/IJNAA.2022.5610
Z. Alabacy, A. Majeed
In this paper, the dynamical behaviour of an {epidemiological system} has been investigated. A stage-structured prey-predator model includes harvest and refuge for only prey, the disease of type (SIS) is just in the immature of the prey and the disease is spread by contact and by external source has been studied. The transmission of infectious diseases in the prey populations has been described by the linear type. While Lotka-Volterra functional response is used to describe the predation process of the whole prey population. This model has been represented by a set of nonlinear differential equations. The solution's existence, uniqueness and boundedness have been studied. "The local and global stability conditions of all the equilibrium points" have been confirmed. As a final point, numerical simulation has been used to study the global dynamics of the model.
{"title":"The dynamics and analysis of an SIS disease of a stage-structured prey-predator model with a prey refuge","authors":"Z. Alabacy, A. Majeed","doi":"10.22075/IJNAA.2022.5610","DOIUrl":"https://doi.org/10.22075/IJNAA.2022.5610","url":null,"abstract":"In this paper, the dynamical behaviour of an {epidemiological system} has been investigated. A stage-structured prey-predator model includes harvest and refuge for only prey, the disease of type (SIS) is just in the immature of the prey and the disease is spread by contact and by external source has been studied. The transmission of infectious diseases in the prey populations has been described by the linear type. While Lotka-Volterra functional response is used to describe the predation process of the whole prey population. This model has been represented by a set of nonlinear differential equations. The solution's existence, uniqueness and boundedness have been studied. \"The local and global stability conditions of all the equilibrium points\" have been confirmed. As a final point, numerical simulation has been used to study the global dynamics of the model.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"901-919"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68125349","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 : 2022-01-01DOI: 10.22075/IJNAA.2020.19996.2116
J. Jamalzadeh, Khatereh Ghasemi, Shahram Ghaffary
Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation$$ fleft(frac{ a+b}{2} right) + fleft( frac{a-b}{2} right) =f(a).$$
{"title":"n-Jordan *-Derivations in Frechet locally C*-algebras","authors":"J. Jamalzadeh, Khatereh Ghasemi, Shahram Ghaffary","doi":"10.22075/IJNAA.2020.19996.2116","DOIUrl":"https://doi.org/10.22075/IJNAA.2020.19996.2116","url":null,"abstract":"Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation$$ fleft(frac{ a+b}{2} right) + fleft( frac{a-b}{2} right) =f(a).$$","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"555-562"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68116019","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.23145.2484
Tawheeda Akhter, S. Malik, B. Zargar
In this paper, we establish some inequalities for rational functions with prescribed poles having t-fold zeros at the origin. The estimates obtained generalise as well as refine some known results for rational functions and in turn, produce extensions of some polynomial inequalities earlier proved by Turan, Jain etc.
{"title":"Turan type inequalities for rational functions with prescribed poles","authors":"Tawheeda Akhter, S. Malik, B. Zargar","doi":"10.22075/IJNAA.2021.23145.2484","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.23145.2484","url":null,"abstract":"In this paper, we establish some inequalities for rational functions with prescribed poles having t-fold zeros at the origin. The estimates obtained generalise as well as refine some known results for rational functions and in turn, produce extensions of some polynomial inequalities earlier proved by Turan, Jain etc.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"1003-1009"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119181","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 : 2022-01-01DOI: 10.22075/IJNAA.2021.22966.2441
C. Allouch, M. Arrai, Mohammed Tahrichi
In this paper, the Kantorovich method for the numerical solution of nonlinear emph{Uryshon} equations with a smooth kernel is considered. The approximating operator is chosen to be either the orthogonal projection or an interpolatory projection using a Legendre polynomial basis. The order of convergence of the proposed method and those of superconvergence of the iterated versions are established. We show that these orders of convergence are valid in the corresponding discrete methods obtained by replacing the integration by a quadrature rule. Numerical examples are given to illustrate the theoretical estimates.
{"title":"Legendre Kantorovich methods for Uryshon integral equations","authors":"C. Allouch, M. Arrai, Mohammed Tahrichi","doi":"10.22075/IJNAA.2021.22966.2441","DOIUrl":"https://doi.org/10.22075/IJNAA.2021.22966.2441","url":null,"abstract":"In this paper, the Kantorovich method for the numerical solution of nonlinear emph{Uryshon} equations with a smooth kernel is considered. The approximating operator is chosen to be either the orthogonal projection or an interpolatory projection using a Legendre polynomial basis. The order of convergence of the proposed method and those of superconvergence of the iterated versions are established. We show that these orders of convergence are valid in the corresponding discrete methods obtained by replacing the integration by a quadrature rule. Numerical examples are given to illustrate the theoretical estimates.","PeriodicalId":14240,"journal":{"name":"International Journal of Nonlinear Analysis and Applications","volume":"13 1","pages":"143-157"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68119592","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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