The Mohand Transform Approach to Fractional Integro-Differential Equations

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Keywords:

Riemann-Liouville (RL) fractional integrals; fractional-order differential equation; gamma function; Mittag-Leffler function; Wright function; Mohand transform of the fractional derivative

Abstract

This research investigates specific classes of fractional integro-differential equations using a straightforward fractional calculus technique. The employed methodology yields a variety of compelling outcomes, including a generalized version of the well-established classical Frobenius method. The approach presented in this study primarily relies on fundamental theorems concerning the specific solutions of fractional integro-differential equations, utilizing the Mohand transform and binomial series extension coefficients. Additionally, advanced techniques for solving fractional integro-differential equations effectively are showcased.

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Published

2024-04-19

How to Cite

Tharmalingam Gunasekar, & Prabakaran Raghavendran. (2024). The Mohand Transform Approach to Fractional Integro-Differential Equations. Journal of Computational Analysis and Applications (JoCAAA), 33(1A), 358–371. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/29

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