New existence result under weak topology for fractional differential equations
This paper deals with the existence of weak solutions for an initial value problem involving Riemann-Liouville-type fractional derivatives. To this end, we transform the posed problem to a sum of two integral operators, then we apply a variant of Krasnoselskii’s fixed point theorem under weak topolo...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
ATNAA
2023-03-01
|
| Series: | Advances in the Theory of Nonlinear Analysis and its Applications |
| Subjects: | |
| Online Access: | https://atnaea.org/index.php/journal/article/view/46/46 |
| Summary: | This paper deals with the existence of weak solutions for an initial value problem involving Riemann-Liouville-type fractional derivatives. To this end, we transform the posed problem to a sum of two integral operators, then we apply a variant of Krasnoselskii’s fixed point theorem under weak topology to conclude the existence of weak solutions. |
|---|---|
| ISSN: | 2587-2648 |