|
|
 |
| |
|
|
|
On Ramadan Group Transform of Fractional Derivatives: Definitions, Properties, and its Applications to Fractional Differential Equations |
|
|
|
PP: 701-708 |
|
|
|
doi:10.18576/pfda/090413
|
|
|
|
Author(s) |
|
|
|
Heba M. Arafa,
Mohamed A. Ramadan,
Majeed A. A. S. Amini,
|
|
|
|
Abstract |
|
|
| In the current study, we introduce for the first time the transformation formulae corresponding to the Ramadan group integral transform (RGT) of Riemann-Liouville and Caputo fractional derivatives. Noting that RGT is a generalization for Laplace as well as Sumudu transforms. The obtained results make significant improvement and complement some known ones in the literature. illustrative examples are explained to demonstrate that RGT is a potent and effective method for finding a fractional differential equation’s analytical solution.
|
|
|
|
|
|
|
|
