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Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets

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Published/Copyright: April 16, 2021

Abstract

The main aim of this paper is to use the operational matrices of fractional integration of Haar wavelets to find the numerical solution for a nonlinear system of two-dimensional fractional partial Volterra integral equations. To do this, first we present the operational matrices of fractional integration of Haar wavelets. Then we apply these matrices to solve systems of two-dimensional fractional partial Volterra integral equations (2DFPVIE). Also, we present the error analysis and convergence as well. At the end, some numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method.

MSC 2010: 26A33; 45G10; 65Gxx

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Received: 2019-08-20
Revised: 2020-08-14
Accepted: 2020-09-28
Published Online: 2021-04-16
Published in Print: 2021-12-01

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