Existence of solution for a Langevin equation involving the $ \psi $-Hilfer fractional derivative: A variational approach
<p>This study examines the existence of a solution for a nonvariational Langevin equation that involves the $ \psi $-Hilfer fractional derivative. More specifically, we apply the mountain pass theorem, and then an iterative approach to establish the existence of a solution for the problem.</p>
Authors
- Lamya Almaghamsi (ORCID: https://orcid.org/0000-0001-7426-6061)
- Abdeljabbar Ghanmi (ORCID: https://orcid.org/0000-0001-8121-0496)
- Abdulrzzag Alghamdi
Institutions
- University of Jeddah (SA)
- Tunis El Manar University (TN)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025024
- Citations
- 3
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 11.18