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Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations 应用 Touchard 小波模拟分数受电弓微分方程的数值解
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0029
Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk
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引用次数: 0
Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations 应用 Touchard 小波模拟分数受电弓微分方程的数值解
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0029
Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk
{"title":"Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations","authors":"Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk","doi":"10.1515/jaa-2023-0029","DOIUrl":"https://doi.org/10.1515/jaa-2023-0029","url":null,"abstract":"Abstract This paper proposes a new operational numerical method based on Touchard wavelets for solving fractional pantograph differential equations. First, we present an operational matrix of fractional integration as well as the fractional derivative of the Touchard wavelets. Then, by approximating the fractional derivative of the unknown function in terms of the Touchard wavelets and also by using collocation method, the original problem is reduced to a system of algebraic equations. Finally, to show the accuracy and the validity of the proposed technique, we provide some numerical examples.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"47 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139123435","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}
引用次数: 0
Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup 具有拉盖尔超群连续性模量的蒂奇马什定理
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0035
L. Rakhimi, Radouan Daher
{"title":"Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup","authors":"L. Rakhimi, Radouan Daher","doi":"10.1515/jaa-2023-0035","DOIUrl":"https://doi.org/10.1515/jaa-2023-0035","url":null,"abstract":"Abstract In this paper, we prove the Titchmarsh theorem for Laguerre hypergroup K = [ 0 , + ∞ [ × R mathbb{K}=[0,+inftymathclose{[}timesmathbb{R} , via moduli of continuity of higher orders.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"44 12","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139123948","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}
引用次数: 0
Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations 应用 Touchard 小波模拟分数受电弓微分方程的数值解
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0029
Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk
{"title":"Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations","authors":"Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk","doi":"10.1515/jaa-2023-0029","DOIUrl":"https://doi.org/10.1515/jaa-2023-0029","url":null,"abstract":"Abstract This paper proposes a new operational numerical method based on Touchard wavelets for solving fractional pantograph differential equations. First, we present an operational matrix of fractional integration as well as the fractional derivative of the Touchard wavelets. Then, by approximating the fractional derivative of the unknown function in terms of the Touchard wavelets and also by using collocation method, the original problem is reduced to a system of algebraic equations. Finally, to show the accuracy and the validity of the proposed technique, we provide some numerical examples.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"47 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139112642","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}
引用次数: 0
Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup 具有拉盖尔超群连续性模量的蒂奇马什定理
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0035
L. Rakhimi, Radouan Daher
{"title":"Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup","authors":"L. Rakhimi, Radouan Daher","doi":"10.1515/jaa-2023-0035","DOIUrl":"https://doi.org/10.1515/jaa-2023-0035","url":null,"abstract":"Abstract In this paper, we prove the Titchmarsh theorem for Laguerre hypergroup K = [ 0 , + ∞ [ × R mathbb{K}=[0,+inftymathclose{[}timesmathbb{R} , via moduli of continuity of higher orders.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"44 12","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139114250","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}
引用次数: 0
Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup 具有拉盖尔超群连续性模量的蒂奇马什定理
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0035
L. Rakhimi, Radouan Daher
{"title":"Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup","authors":"L. Rakhimi, Radouan Daher","doi":"10.1515/jaa-2023-0035","DOIUrl":"https://doi.org/10.1515/jaa-2023-0035","url":null,"abstract":"Abstract In this paper, we prove the Titchmarsh theorem for Laguerre hypergroup K = [ 0 , + ∞ [ × R mathbb{K}=[0,+inftymathclose{[}timesmathbb{R} , via moduli of continuity of higher orders.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"44 12","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139116778","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}
引用次数: 0
Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations 应用 Touchard 小波模拟分数受电弓微分方程的数值解
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0029
Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk
{"title":"Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations","authors":"Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk","doi":"10.1515/jaa-2023-0029","DOIUrl":"https://doi.org/10.1515/jaa-2023-0029","url":null,"abstract":"Abstract This paper proposes a new operational numerical method based on Touchard wavelets for solving fractional pantograph differential equations. First, we present an operational matrix of fractional integration as well as the fractional derivative of the Touchard wavelets. Then, by approximating the fractional derivative of the unknown function in terms of the Touchard wavelets and also by using collocation method, the original problem is reduced to a system of algebraic equations. Finally, to show the accuracy and the validity of the proposed technique, we provide some numerical examples.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"47 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139117208","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}
引用次数: 0
Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations 应用 Touchard 小波模拟分数受电弓微分方程的数值解
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0029
Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk
{"title":"Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations","authors":"Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk","doi":"10.1515/jaa-2023-0029","DOIUrl":"https://doi.org/10.1515/jaa-2023-0029","url":null,"abstract":"Abstract This paper proposes a new operational numerical method based on Touchard wavelets for solving fractional pantograph differential equations. First, we present an operational matrix of fractional integration as well as the fractional derivative of the Touchard wavelets. Then, by approximating the fractional derivative of the unknown function in terms of the Touchard wavelets and also by using collocation method, the original problem is reduced to a system of algebraic equations. Finally, to show the accuracy and the validity of the proposed technique, we provide some numerical examples.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"47 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139118027","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}
引用次数: 0
Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup 具有拉盖尔超群连续性模量的蒂奇马什定理
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0035
L. Rakhimi, Radouan Daher
{"title":"Titchmarsh’s theorem with moduli of continuity in Laguerre hypergroup","authors":"L. Rakhimi, Radouan Daher","doi":"10.1515/jaa-2023-0035","DOIUrl":"https://doi.org/10.1515/jaa-2023-0035","url":null,"abstract":"Abstract In this paper, we prove the Titchmarsh theorem for Laguerre hypergroup K = [ 0 , + ∞ [ × R mathbb{K}=[0,+inftymathclose{[}timesmathbb{R} , via moduli of continuity of higher orders.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"44 12","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139118038","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}
引用次数: 0
Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations 应用 Touchard 小波模拟分数受电弓微分方程的数值解
IF 0.9
Journal of Applied Analysis Pub Date : 2024-01-03 DOI: 10.1515/jaa-2023-0029
Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk
{"title":"Application of Touchard wavelet to simulate numerical solutions to fractional pantograph differential equations","authors":"Mostafa Safavi, A. Khajehnasiri, Reza Ezzati, Saeedeh Rezabeyk","doi":"10.1515/jaa-2023-0029","DOIUrl":"https://doi.org/10.1515/jaa-2023-0029","url":null,"abstract":"Abstract This paper proposes a new operational numerical method based on Touchard wavelets for solving fractional pantograph differential equations. First, we present an operational matrix of fractional integration as well as the fractional derivative of the Touchard wavelets. Then, by approximating the fractional derivative of the unknown function in terms of the Touchard wavelets and also by using collocation method, the original problem is reduced to a system of algebraic equations. Finally, to show the accuracy and the validity of the proposed technique, we provide some numerical examples.","PeriodicalId":44246,"journal":{"name":"Journal of Applied Analysis","volume":"47 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139118734","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}
引用次数: 0
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