학술논문
A computational approach for solving fractional Volterra integral equations based on two-dimensional Haar wavelet method.
Document Type
Article
Source
Subject
*VOLTERRA equations
*FRACTIONAL integrals
*ALGEBRAIC equations
*WAVELET transforms
*ERROR functions
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Language
ISSN
0020-7160
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. [ABSTRACT FROM AUTHOR]