| Volume 14, Number 5, 2024, Pages - DOI：10.11948/JAAC-2023-0436 |
| Theoretical study of a class of $\zeta$-Caputo fractional differential equations in a Banach space |
| Oualid Zentar,Mohamed Ziane,Mohammed Al-Horani,Ismail Zitouni |
| Keywords:$\zeta$-Caputo derivative, fixed point theorem, Hausdorff measure of noncompactness. |
| Abstract: |
| A study of an important class of nonlinear fractional differential equations driven by $\zeta$-Caputo type derivative
in a Banach space framework is presented. The classical Banach contraction principle associated with the
Bielecki-type norm and a fixed-point theorem with respect to convex-power condensing operators are used to achieve
some existence results. Two illustrative examples are provided to justify the theoretical results. |
PDF Download reader
|
|
|
|