Solving fractional integro-differential equations by Aboodh transform
Prabakaran Raghavendran, Th. Gunasekar, Hemalatha Balasundaram, Shyam Sundar Santra, D. Dutta Majumder, Dumitru Bǎleanu
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.
Topics & Concepts
MathematicsApplied mathematicsIntegro-differential equationFractional calculusDifferential equationMathematical analysisFirst-order partial differential equationFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsMathematical functions and polynomials