Study on Controllability for Ψ-Hilfer Fractional Stochastic Differential Equations
The goal of this paper is to study the existence of a mild solution and controllability for a class of neutral stochastic differential equations (SDEs) involving the Ψ-Hilfer fractional derivatives, a generalization of the well-known Riemann–Liouville fractional derivative using almost sectorial operators. Sufficient conditions for controllability are established using the notion of measure of noncompactness (MNC) and the Mönch fixed-point theorem. An example is given to illustrate the abstract findings.
Authors
- Abdur Raheem (ORCID: https://orcid.org/0000-0002-7034-9000)
- Javaid Akhtar (ORCID: https://orcid.org/0000-0002-9734-7056)
- Fahad Maqbul Alamrani (ORCID: https://orcid.org/0009-0006-9816-1719)
- Faizan Ahmad Khan (ORCID: https://orcid.org/0000-0002-8734-5516)
- Areefa Khatoon (ORCID: https://orcid.org/0000-0001-6842-4932)
- Esmail Alshaban (ORCID: https://orcid.org/0009-0000-0385-2557)
- Adel Alatawi (ORCID: https://orcid.org/0009-0000-8154-0858)
Institutions
- Vignan's Foundation for Science, Technology & Research (IN)
- Aligarh Muslim University (IN)
- University of Tabuk (SA)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2024-12-11
- DOI
- https://doi.org/10.3390/fractalfract8120727
- Citations
- 10
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 9.75