Solving fractional integro-differential equations by Aboodh transform
Date
2024
Authors
Raghavendran, Prabakaran
Gunasekar, Tharmalingam
Balasundaram, Hemalatha
Santra, Shyam Sundar
Majumder, Debasish
Baleanu, Dumitru
Journal Title
Journal ISSN
Volume Title
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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
Keywords
Aboodh Transform of the Fractional Derivative, Fractional Integral, Fractional-Order Differential Equation, Gamma Function, Mittag-Leffler Function, Riemann-Liouville (RL), Wright Function
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.