Work

Solving Fractional Differential Equations via New Relation-Theoretic Fuzzy Fixed Point Theorems

Year: 2025

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math13162582

Authors: Waleed M. Alfaqih, Salvatore Sessa, Hayel N. Saleh, Mohammad Imdad

Institutions: 21 September University for Medical and Applied Sciences, Hajjah University, University of Naples Federico II, Taiz University, Aligarh Muslim University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4413188903

FWCI: 1.762

Cites: 25

Cited by: 1

Related to: 10