- Universal Journal of Mathematics and Applications
- Vol: 3 Issue: 3
- Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
Authors : Mohamed Elarbi Benattia, Kacem Belghaba
Pages : 93-101
Doi:10.32323/ujma.702033
View : 13 | Download : 4
Publication Date : 2020-09-29
Article Type : Research
Abstract :In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative. The transformation concerned is applicable to solve many classes of partial differential equations with derivatives of order and integrals. Consequently, the fractional Delay Differential Equations (DDEs) which we are going to study in this work. The resulting numerical proofs show that the method converges favorably towards the analytical solution.Keywords : Aboodh Transform, Fractional Delay differential Equation, Partial derivatives