Work

Outcomes for The Analysis of The Existence of Fuzzy Fractional Differential Equations

Year: 2024

Type: article

Abstract: In this article, a Cauchy problem for a fuzzy q-fractional differential equation of order α has been considered.The results for generalized Hukuhara q-differentiablity of a fuzzy function are established. This work has led to the study of existence and uniqueness of the fuzzy function with Caputo Hukuhara q-differentiability and generalized Banach fixed point theorem. A crucial qualitative property of the differential equation, which is continuous dependence on initial conditions and the functions involved is analysed. An illustrative example is given which ensures the result.

Source: Communications on Applied Nonlinear Analysis

DOI: 10.52783/cana.v31.1117

Author: P.Dhanalakshmi

Institution: Bharathiar University

Language: English

Topic: Fuzzy Systems and Optimization

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4401671502

FWCI:

Cites: 6

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Related to: 10