Application of Laplace transform to solve fractional integro-differential equations
Gunasekar Gunasekar, Prabakaran Raghavendran, Shyam Sundar Santra, D. Dutta Majumder, Dumitru Bǎleanu, Hemalatha Balasundaram
Abstract
This paper reveals the solutions to several families of fractional integro-differential equations through the application of a simple fractional calculus method. This approach results in various interesting consequences and also extends the classical Frobenius method. The provided approach is primarily based on established theorems concerning particular solutions of fractional integro-differential equations using the Laplace transform and the extension coefficients of binomial series. Additionally, an illustrative example of such fractional integro-differential equations is presented.
Topics & Concepts
Laplace transformLaplace transform applied to differential equationsMathematical analysisIntegro-differential equationMathematicsApplied mathematicsInverse Laplace transformFractional calculusDifferential equationCalculus (dental)MedicineFirst-order partial differential equationOrthodonticsFractional Differential Equations SolutionsDifferential Equations and Boundary ProblemsDifferential Equations and Numerical Methods