TY  - JOUR
T1  - Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
AU  - Elarbı Benattıa, Mohamed
AU  - Belghaba, Kacem
PY  - 2020
DA  - September
Y2  - 2020
DO  - 10.32323/ujma.702033
JF  - Universal Journal of Mathematics and Applications
JO  - Univ. J. Math. Appl.
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2619-9653
SP  - 93
EP  - 101
VL  - 3
IS  - 3
LA  - en
AB  - 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.
KW  - Aboodh Transform
KW  - Fractional Delay differential Equation
KW  - Partial derivatives
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UR  - https://doi.org/10.32323/ujma.702033
L1  - https://dergipark.org.tr/en/download/article-file/1001672
ER  -