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Title

An operational approach for solving fractional pantograph differential equation

Year: 1397
COI: JR_IJNAO-9-1_005
Language: EnglishView: 297
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Authors

h Ebrahimi - department of mathematics Rasht branch, Islamic Azad University, Rasht, Iran,
k Sadri - young researchers and elite club, Rasht Branch, Islamic Azad University, Rasht, Iran.

Abstract:

The aim of the current paper is to construct the shifted fractional-order Jacobi functions (SFJFs) based on the Jacobi polynomials to numerically solve the fractional-order pantograph differential equations. To achieve this purpose, first the operational matrices of integration, product, and panto graph, related to the fractional-order basis, are derived (operational matrix of integration is derived in Riemann-Liouville fractional sense). Then, these matrices are utilized to reduce the main problem to a set of algebraic equations. Finally, the reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments. Also, some theorems are presented on existence of solution of the problem under study and convergence of our method

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Paper COI Code

This Paper COI Code is JR_IJNAO-9-1_005. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/992242/

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Ebrahimi, h and Sadri, k,1397,An operational approach for solving fractional pantograph differential equation,https://civilica.com/doc/992242

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Type of center: Azad University
Paper count: 5,939
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