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Solving Fractional Integro-Differential Equations by Aboodh Transform

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Date

2024

Journal Title

Journal ISSN

Volume Title

Publisher

int Scientific Research Publications

Open Access Color

GOLD

Green Open Access

No

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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

Fields of Science

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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OpenCitations Citation Count
16

Source

Journal of Mathematics and Computer Science

Volume

32

Issue

3

Start Page

229

End Page

240
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Citations

Scopus : 30

SCOPUS™ Citations

30

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Web of Science™ Citations

18

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Page Views

1

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4.486

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