Pub Date : 2023-01-01DOI: 10.1504/ijans.2023.10059135
R. Venkatakrishnaiah, M.A. Balasubramani, K.V.B. Raju
{"title":"Evolutionary artificial intelligence in the Industry 4.0 to simulate static loads in railway tracks for geosynthetic-reinforced soil structures based geogrid","authors":"R. Venkatakrishnaiah, M.A. Balasubramani, K.V.B. Raju","doi":"10.1504/ijans.2023.10059135","DOIUrl":"https://doi.org/10.1504/ijans.2023.10059135","url":null,"abstract":"","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135496934","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 : 2023-01-01DOI: 10.1504/ijans.2023.10059378
Ifrah Iqbal, Muhammad Imran Asjad, Hamood Ur Rehman, Ali Akgül
{"title":"Soliton solutions of space-time fractional Zoomeron differential equation","authors":"Ifrah Iqbal, Muhammad Imran Asjad, Hamood Ur Rehman, Ali Akgül","doi":"10.1504/ijans.2023.10059378","DOIUrl":"https://doi.org/10.1504/ijans.2023.10059378","url":null,"abstract":"","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135701194","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 : 2023-01-01DOI: 10.1504/ijans.2023.133731
Muhammad Asif, Adnan Khan, Ali Akgül, Biniyam Shimelis
Special functions such that Zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and k-Wright functions are obtained as a solution to complex differential equations in engineering. In this work, generalised Euler-type integrals involving k-Wright function are suggested. Some special cases of this type of generalised integrals that are corresponding to well-known results in the literature are also inferred. We also study extended beta and associated functions (Gauss hypergeometric and confluent hypergeometric functions) connected to k-Wright function. For the newly extended beta, Gauss hypergeometric and confluent hypergeometric functions.
{"title":"Some results on generalised Euler-type integrals related to the k-Wright function","authors":"Muhammad Asif, Adnan Khan, Ali Akgül, Biniyam Shimelis","doi":"10.1504/ijans.2023.133731","DOIUrl":"https://doi.org/10.1504/ijans.2023.133731","url":null,"abstract":"Special functions such that Zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and k-Wright functions are obtained as a solution to complex differential equations in engineering. In this work, generalised Euler-type integrals involving k-Wright function are suggested. Some special cases of this type of generalised integrals that are corresponding to well-known results in the literature are also inferred. We also study extended beta and associated functions (Gauss hypergeometric and confluent hypergeometric functions) connected to k-Wright function. For the newly extended beta, Gauss hypergeometric and confluent hypergeometric functions.","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135912912","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 : 2023-01-01DOI: 10.1504/ijans.2023.133725
N.A. Sneha, Kuldip Katiyar
This note aims to study a reconstruction model of pandemic curves based on fractal interpolation function point of view. The weekly confirmed positive cases starting from October 1, 2021 to April 14, 2022 of the ten countries, the UK, India, South Africa, Brazil, France, Netherlands, Australia, Italy, Belgium, and Israel has been studied by using the fractal techniques. The fractal interpolation scheme used in this paper, called zipper fractal interpolation function (ZFIF) is based on concept of zipper functions. The embedding of zipper function in fractal interpolation provides more flexibility and versatility to analyse the pandemic curves. The ZFIFs are then tested for a case study of above-mentioned countries and obtain many interesting results.
{"title":"A study of COVID-19 spread through zipper fractal interpolation","authors":"N.A. Sneha, Kuldip Katiyar","doi":"10.1504/ijans.2023.133725","DOIUrl":"https://doi.org/10.1504/ijans.2023.133725","url":null,"abstract":"This note aims to study a reconstruction model of pandemic curves based on fractal interpolation function point of view. The weekly confirmed positive cases starting from October 1, 2021 to April 14, 2022 of the ten countries, the UK, India, South Africa, Brazil, France, Netherlands, Australia, Italy, Belgium, and Israel has been studied by using the fractal techniques. The fractal interpolation scheme used in this paper, called zipper fractal interpolation function (ZFIF) is based on concept of zipper functions. The embedding of zipper function in fractal interpolation provides more flexibility and versatility to analyse the pandemic curves. The ZFIFs are then tested for a case study of above-mentioned countries and obtain many interesting results.","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135912913","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 : 2023-01-01DOI: 10.1504/ijans.2023.133733
Shazia Javed, Ghida Nazir, Nazir Ahmad Chaudhry, Ali Akgül, Muhammad Farhan Tabassum
{"title":"Adaptive recursive least squares method for parameter estimation of autoregressive models","authors":"Shazia Javed, Ghida Nazir, Nazir Ahmad Chaudhry, Ali Akgül, Muhammad Farhan Tabassum","doi":"10.1504/ijans.2023.133733","DOIUrl":"https://doi.org/10.1504/ijans.2023.133733","url":null,"abstract":"","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135913550","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 : 2023-01-01DOI: 10.1504/ijans.2023.133734
Hamood Ur Rehman, Muhammad Imran Asjad, Ifrah Iqbal, Ali Akgül
In the present work, Sardar subequation method (SSM) is exerted for seeking exact solutions of (2 + 1)-dimensional space-time fractional Zoomeron equation (FZE) in terms of conformable derivative (CD). The conformable derivative has much more capability than Riemann-Liouville and caputo derivative in solving the nonlinear fractional differential equation. The proposed method is extremely simple and very effective for finding exact solutions and then extracting solitons for the model. Bright, dark, singular, periodic singular and bright-dark hybrid soliton solutions are retrieved. Appropriate constraints are chosen for the obtained solitons to guarantee their existence. Moreover, from some obtained solutions, we draw its two-dimensional, contour and three-dimensional graphs by taking suitable values of parameters and then compare these graphs by changing the values of conformable derivative.
{"title":"Soliton solutions of space-time fractional Zoomeron differential equation","authors":"Hamood Ur Rehman, Muhammad Imran Asjad, Ifrah Iqbal, Ali Akgül","doi":"10.1504/ijans.2023.133734","DOIUrl":"https://doi.org/10.1504/ijans.2023.133734","url":null,"abstract":"In the present work, Sardar subequation method (SSM) is exerted for seeking exact solutions of (2 + 1)-dimensional space-time fractional Zoomeron equation (FZE) in terms of conformable derivative (CD). The conformable derivative has much more capability than Riemann-Liouville and caputo derivative in solving the nonlinear fractional differential equation. The proposed method is extremely simple and very effective for finding exact solutions and then extracting solitons for the model. Bright, dark, singular, periodic singular and bright-dark hybrid soliton solutions are retrieved. Appropriate constraints are chosen for the obtained solitons to guarantee their existence. Moreover, from some obtained solutions, we draw its two-dimensional, contour and three-dimensional graphs by taking suitable values of parameters and then compare these graphs by changing the values of conformable derivative.","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135914590","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 : 2023-01-01DOI: 10.1504/ijans.2023.133727
Mahedi Abdelghani Atoussi, Slami Saadi, Bachir Nail
The aim of this study is to achieve the best synchronisation in a secure communication scheme by using two fractional-order chaotic systems (FOCS), one for the transmitter and the other for the receiver. This synchronisation is done with the assistance of the step-by-step sliding mode observer (SBS-SMO). To improve the observer's performance, a novel optimisation algorithm called the artificial hummingbird algorithm (AHA) had been used, which leads to selecting the best parameters for the observer instead of selecting them randomly. The proposed scheme succeeded in recovering the secret message that could be (signal, voice, etc.) in the receiver section in a finite period of time.
{"title":"Design of an optimal step-by-step sliding mode observer for multiple fractional-order chaotic synchronisation with an application to secure communication","authors":"Mahedi Abdelghani Atoussi, Slami Saadi, Bachir Nail","doi":"10.1504/ijans.2023.133727","DOIUrl":"https://doi.org/10.1504/ijans.2023.133727","url":null,"abstract":"The aim of this study is to achieve the best synchronisation in a secure communication scheme by using two fractional-order chaotic systems (FOCS), one for the transmitter and the other for the receiver. This synchronisation is done with the assistance of the step-by-step sliding mode observer (SBS-SMO). To improve the observer's performance, a novel optimisation algorithm called the artificial hummingbird algorithm (AHA) had been used, which leads to selecting the best parameters for the observer instead of selecting them randomly. The proposed scheme succeeded in recovering the secret message that could be (signal, voice, etc.) in the receiver section in a finite period of time.","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135912918","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 : 2023-01-01DOI: 10.1504/ijans.2023.133724
Tasawar Abbas, Muhammad Mohsin Saleem Kamboh, Muhammad Sultan, Hafiz Muhammad Waseem Anwar, Ather Qayyum
The purpose of this paper is to provide a better version of Ostrowski's type integral inequalities. The inequalities are obtained by using a newly developed special type of nine-step quadratic kernel. The introduction of this new kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules are also considered.
{"title":"Generalisation of Ostrowski's type inequalities by using multi-step quadratic kernel","authors":"Tasawar Abbas, Muhammad Mohsin Saleem Kamboh, Muhammad Sultan, Hafiz Muhammad Waseem Anwar, Ather Qayyum","doi":"10.1504/ijans.2023.133724","DOIUrl":"https://doi.org/10.1504/ijans.2023.133724","url":null,"abstract":"The purpose of this paper is to provide a better version of Ostrowski's type integral inequalities. The inequalities are obtained by using a newly developed special type of nine-step quadratic kernel. The introduction of this new kernel gives some new error bounds for various quadrature rules. Applications for composite quadrature rules are also considered.","PeriodicalId":53168,"journal":{"name":"International Journal of Applied Nonlinear Science","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135914608","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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