Solving Fractional Delay Integro-Differential
Equations by Chebyshev Wavelets

S. C. Shiralashetti; B. S. Hoogar

doi:https://doi.org/10.14445/22315373/IJMTT-V67I7P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 7 | Year 2021 | Article Id. IJMTT-V67I7P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I7P519

Solving Fractional Delay Integro-Differential Equations by Chebyshev Wavelets

S. C. Shiralashetti,B. S. Hoogar

Citation :

S. C. Shiralashetti,B. S. Hoogar, "Solving Fractional Delay Integro-Differential Equations by Chebyshev Wavelets," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 7, pp. 158-168, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I7P519

Abstract

In this article, an efficient numerical technique based on second kind Chebyshev wavelets is proposed to solve a class of fractional delay integro-differential equations. The operational matrix of fractional integration is used to convert the equation under investigation into a system of algebraic equations which can be solved easily. Illustrative examples are included to demonstrate the high accuracy and applicability of the method. In addition, the numerical results are compared with exact solutions and other existing methods confirm that present technique is more efficient.

Keywords

Fractional calculus; Chebyshev wavelets; Delay Fredholm integro-differential equations; Numerical solution.

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