A novel approach for solving weakly singular fractional integro-differential equations

In this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution technique. We delve into the operational matr...

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Bibliographic Details
Published in:Partial Differential Equations in Applied Mathematics
Main Authors: Ali Jalal Ali, Mostafa Eslami, Ali Tavakoli
Format: Article
Language:English
Published: Elsevier 2024-12-01
Subjects:
Fractional integro-differential equations
Polynomial interpolation
Chebyshev nodes
Probability
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818124003085
Description
Summary:In this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution technique. We delve into the operational matrices integral to this method, providing comprehensive insights into their functionality. Furthermore, we establish the convergence of our approach and substantiate its effectiveness through various numerical examples.
ISSN:2666-8181

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