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International Journal of Nonlinear Analysis and Applications، جلد ۱۳، شماره ۱، صفحات ۴۶۷-۴۸۴
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عنوان انگلیسی A numerical scheme for solving variable order Caputo-Prabhakar fractional integro-differential equation
چکیده انگلیسی مقاله In this paper we apply the Chebyshev polynomials method for the numerical solution of a class of variable-order fractional integro-differential equations with initial conditions. Moreover, a class of variable-order fractional integro-differential equations with fractional derivative of Caputo-Prabhakar sense is considered. The main aim of the Chebyshev polynomials method is to derive four kinds of operational matrices of Chebyshev polynomials. With such operational matrices, an equation is transformed into the products of several dependent matrices, which can also be viewed as the system of linear equations after dispersing the variables. Finally, numerical examples have been presented to demonstrate the accuracy of the proposed method, and the results have been compared with the exact solution.
کلیدواژه‌های انگلیسی مقاله Variable order fractional, Prabhakar fractional derivative, Chebyshev polynomials method, Operational matrices
نویسندگان مقاله Bagher Bagharzadehtvasani |
Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

Amir Hosein Refahi Sheikhani |
Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran

Hossein Aminikhah |
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran

نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_5517_e0c2c674dae3ae90d807af8d52f822be.pdf
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