Approximate solution for a system of fractional integro-differential equations by Müntz Legendre wavelets

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 11، شماره 1 - شماره پیاپی 19، خرداد 2021، صفحه 55-72   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2021.11327.0

نویسنده

Y. Barazandeh^*

Department of Mathematics, Lorestan University, Khorramabad, Iran.

چکیده

We use the Müntz Legendre wavelets and operational matrix to solve a system of fractional integro-differential equations. In this method, the system of integro-differential equations shifts into the systems of the algebraic equation, which can be solved easily. Finally, some examples confirming the applicability, accuracy, and efficiency of the proposed method are given.

کلیدواژه‌ها

System of fractional integro-differential equations؛ Caputo fractional derivative؛ Müntz Legendre method

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