A fuzzy random boundary value problem

Date

2022

Authors

Srivastava, H.M.
Chaharpashlou, Reza
Saadati, Reza
Li, Chenkuan

Journal Title

Journal ISSN

Volume Title

Publisher

Axioms

Abstract

A system of generalized fuzzy random differential equations with boundary conditions is investigated, which is a fuzzy version of a system of general random differential equations. We first present random fixed point (RFP) theorems in fuzzy metric space (FM). In the sequel, we define the operators that are of integral type. Furthermore, these operators are related to a part of random differential equations (RDE). For the desired system with boundary conditions, we study the suitable integral operators associated with a large family of random differential equations. Finally, we prove the existence of a unique random solution (EURS).

Description

Keywords

measurable space, random ODE, random FPT, fuzzy, vector-valued normed space

Citation

Srivastava, H., Chaharpashlou, R., Saadati, R., & Li, C. (2022). “A fuzzy random boundary value problem.” Axioms, 11(8), 414. https://doi.org/10.3390/axioms11080414