Gunasekar, TharmalingamBalasundaram, HemalathaSantra, Shyam SundarMajumder, DebasishBaleanu, DumitruRaghavendran, Prabakaran2024-10-242025-09-182024-10-242025-09-182024Raghavendran, Prabakaran...et al (2024). "Solving fractional integro-differential equations by Aboodh transform", Journal of Mathematics and Computer Science, Vol. 32, No. 3, pp. 229-240.2008-949Xhttps://doi.org/10.22436/jmcs.032.03.04https://hdl.handle.net/20.500.12416/13580Tharmalingam, Gunasekar/0000-0002-7268-1613; Raghavendran, Prabakaran/0009-0001-7333-6555This 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.eninfo:eu-repo/semantics/openAccessRiemann-Liouville (Rl)Fractional IntegralFractional-Order Differential EquationGamma FunctionMittag-Leffler FunctionWright FunctionAboodh Transform Of The Fractional DerivativeArticle10.22436/jmcs.032.03.042-s2.0-85175247066