Exact Solution of Certain Fractional Fredholm and Volterra Singular Integral Equations
Fractional Fredholm and Volterra Singular Integral Equations
Resumen
In this article, the author has made every effort to expose the capabilities of integral transformations, as well as special functions, to readers interested in this interesting topic through various examples. Important points that readers will find in this article include the applications of integral transforms in evaluating series and integrals involving the Bessel functions, as well as solving fractional differential equations, partial fractional differential equation and fractional singular integral equation, where the fractional derivatives are in the Caputo-Fabrizio sense. It should be emphasised that none of the issues raised in this work are found in previous references. The proposed methods are illustrated by solving some concrete examples.
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