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Research Article

A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method

, , ORCID Icon & ORCID Icon
Pages 1488-1504 | Received 10 Jul 2020, Accepted 13 Sep 2021, Published online: 26 Oct 2021
 

Abstract

In this paper, an operational matrix (OM) method based on two-dimensional Haar wavelets (2D-HWs) is proposed for solving generalized 2D fractional Volterra integral equations (2D-FVIEs). The proposed method converts these equations into an algebraic equations system. Presenting theorems, we prove the existence and uniqueness of the mentioned equations and estimate the error bound for function approximation. Our method validity and applicability are demonstrated through some examples.

2020 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

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