Volume 7, Issue 2 (Vol.7, No. 2, 2021)
mmr 2021, 7(2): 263-278 |
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Barikbin Z, Hemati E, Sedaghat S. چندجملهایهای لژاندر بهبود یافته کسری در حل معادلات دیفرانسیل با مشتقات جزیی کسری با تأخیر زمانی. mmr 2021; 7 (2) :263-278
URL: http://mmr.khu.ac.ir/article-1-3066-en.html
URL: http://mmr.khu.ac.ir/article-1-3066-en.html
1- Department of Applied Mathematics, Imam Khomeini International University, Qazvin, Iran , barikbin@sci.ikiu.ac.ir
2- Department of Mathematics, Shaikh Zayed University Education Faculty, Khost, Afghanistan
3- Imam Khomeini International University- Buein Zahra Higher Education Center of Engineering and Technology, Qazvin, Iran
2- Department of Mathematics, Shaikh Zayed University Education Faculty, Khost, Afghanistan
3- Imam Khomeini International University- Buein Zahra Higher Education Center of Engineering and Technology, Qazvin, Iran
Abstract: (1851 Views)
In this paper, the pseudo-operational matrices of the integer and fractional derivative for the fractional alternative Legendre polynomials (FALPs) are introduced for the first time. These operational matrices and the Gauss-Legendre collocation method are used to solve a set of delay differential equations (DDEs) with fractional derivatives. Using operational and pseudo-operational matrices, DDE with fractional partial derivatives are reduced to the set of algebraic equations with unknown FALP coefficients. Finally, some examples are included to demonstrate the applicability of the method../files/site1/files/72/7Abstract(1).pdf
Keywords: Fractional alternative Legendre functions, pseudo-operational matrix of derivative, fractional delay differential equations, collocation method.
Type of Study: Original Manuscript |
Subject:
Mat
Received: 2020/03/15 | Revised: 2021/09/19 | Accepted: 2021/03/13 | Published: 2021/09/1 | ePublished: 2021/09/1
Received: 2020/03/15 | Revised: 2021/09/19 | Accepted: 2021/03/13 | Published: 2021/09/1 | ePublished: 2021/09/1
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