| publication name | Analysis and numerical solution of the generalized proportional fractional Cauchy problem |
|---|---|
| Authors | D. Boucenna; D. Baleanu; Abdellatif Ben Makhlouf; A. M. Nagy |
| year | 2021 |
| keywords | Fractional differential equations; Generalized proportional fractional derivative |
| journal | Applied Numerical Mathematics |
| volume | 167 |
| issue | Not Available |
| pages | 173-186 |
| publisher | Elsevier |
| Local/International | International |
| Paper Link | https://doi.org/10.1016/j.apnum.2021.04.015 |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, we explore the existence and uniqueness theorem for a problem of the fractional Cauchy form, with dependence on the generalized proportional Caputo derivative. Furthermore, a new numerical technique is presented based on a decomposition formula for the generalized proportional Caputo derivative. Convergence analysis of the proposed technique is proved. Finally, numerical results are obtained to confirm the validity of the proposed method.