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Dr. Abdelhameed Mohamed Abdelhameed Nagy :: Publications: |
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| Title: | 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: | |
| Full paper | Not Available |
| 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. |
