Solving Fractional Differential Equations via New Relation-Theoretic Fuzzy Fixed Point Theorems
In this paper, we present the notion of fuzzy R−F−contractive mappings and provide some fuzzy fixed point results in the setting of fuzzy metric spaces, which are endowed with binary relations. Furthermore, we apply our newly established fuzzy fixed point results to solve certain boundary value problems for nonlinear fractional differential equations involving the Caputo fractional derivatives. Also, we provide some examples to show the utility of our new results.
Authors
- Hayel N. Saleh (ORCID: https://orcid.org/0000-0002-8343-4036)
- Salvatore Sessa (ORCID: https://orcid.org/0000-0002-4303-2884)
- Waleed M. Alfaqih (ORCID: https://orcid.org/0000-0001-6281-1229)
- Mohammad Imdad (ORCID: https://orcid.org/0000-0003-3270-1365)
Institutions
- Sana'a University (YE)
- Aligarh Muslim University (IN)
- University of Sharjah (AE)
- Taiz University (YE)
- Al-Razi University (YE)
- University of Naples Federico II (IT)
Publication Details
- Journal
- Mathematics
- Published
- 2025-08-12
- DOI
- https://doi.org/10.3390/math13162582
- Primary Topic
- Fixed Point Theorems Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00