Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100922

Authors: Ali Jalal Ali, Mostafa Eslami, Ali Tavakoli

Institution: University of Mazandaran

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

OpenAlex ID: W4402564051

FWCI:

Cites: 17

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Related to: 10