Affiliations: [a] Faculty of Applied Sciences, University of Technology and Education Ho Chi Minh City, Vietnam | [b] Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [c] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Correspondence:
[*]
Corresponding author. Ngo Van Hoa, Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam. E-mail: [email protected].
Abstract: In this work, a new class of generalized fractional integral equations involving the kernel ψ-function in the fuzzy setting is introduced. With this problem, we can recover a wide class of fractional fuzzy integral equations by choosing the kernel ψ-function. In this sense, we provide sufficient conditions for the existence, uniqueness of solutions and δ-Ulam-Hyers-Rassias stability of the given problems. Some examples are given to illustrate our main results.
Keywords: δ-Ulam-Hyers-Rassias, kernel ψ-functions, Fuzzy fractional integral equations
