Solving Fractional Integro-Differential Equations by Aboodh Transform

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Abstract

This study approaches some families of fractional integro-differential equations (FIDEs) using a simple fractional calculus method, which leads to several appealing consequences, including the classical Frobenius method, which is generalized. The method presented here is based mostly on certain general theorems on particular solutions of FIDEs using the Aboodh transform and binomial series extension coefficients. We additionally demonstrate techniques to solve FIDEs.

Description

Tharmalingam, Gunasekar/0000-0002-7268-1613; Raghavendran, Prabakaran/0009-0001-7333-6555

Keywords

Riemann-Liouville (Rl), Fractional Integral, Fractional-Order Differential Equation, Gamma Function, Mittag-Leffler Function, Wright Function, Aboodh Transform Of The Fractional Derivative

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Citation

Raghavendran, Prabakaran...et al (2024). "Solving fractional integro-differential equations by Aboodh transform", Journal of Mathematics and Computer Science, Vol. 32, No. 3, pp. 229-240.

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16

Volume

32

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3

Start Page

229

End Page

240
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Scopus : 30

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