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• W2965865735 abstract "In this paper, a new set of functions called fractional alternative Legendre is defined for solving nonlinear fractional integro-differential equations. The concept of the fractional derivative in this problem is in the Caputo sense. To solve the problem, first we obtain the operational matrix of the Riemann–Liouville fractional integration of these functions for the first time. Then, this matrix and collocation method are utilized to reduce the solution of the nonlinear fractional integro-differential equations to a system of algebraic equations. Also, the convergence analysis of the proposed method is investigated. Finally, some examples are included to demonstrate the validity and applicability of the approach." @default.
• W2965865735 created "2019-08-13" @default.
• W2965865735 creator A5027725316 @default.
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• W2965865735 date "2020-02-01" @default.
• W2965865735 modified "2023-10-06" @default.
• W2965865735 title "Approximate solution of nonlinear fractional integro-differential equations using fractional alternative Legendre functions" @default.
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• W2965865735 doi "https://doi.org/10.1016/j.cam.2019.112365" @default.
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