A Study of a Nonlocal Coupled Integral Boundary Value Problem for Nonlinear Hilfer–Hadamard-Type Fractional Langevin Equations
We discuss the existence criteria and Ulam–Hyers stability for solutions to a nonlocal integral boundary value problem of nonlinear coupled Hilfer–Hadamard-type fractional Langevin equations. Our results rely on the Leray–Schauder alternative and Banach’s fixed point theorem. Examples are included to illustrate the results obtained.
Authors
- Bashir Ahmad (ORCID: https://orcid.org/0000-0001-5350-2977)
- Sotiris K. Ntouyas (ORCID: https://orcid.org/0000-0002-7695-2118)
- Hafed A. Saeed (ORCID: https://orcid.org/0009-0007-8306-3056)
Institutions
- King Abdulaziz University (SA)
- University of Ioannina (GR)
- Ibb University (YE)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2025-04-04
- DOI
- https://doi.org/10.3390/fractalfract9040229
- Citations
- 2
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 2.74