Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay

Document Type : Research Paper

Authors

1 Universidad Nacional de Colombia - Sede Orinoquia, Kilometro 9 via a Cano Limon, Arauca, Colombia

2 Departamento de Matematica, Universidad de Tarapaca, Casilla 7D, Arica, Chile.

3 Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran

4 Universidad Industrial de Santander, Escuela de Matematicas, A.A.678, Bucaramanga, Colombia

10.22111/ijfs.2020.5597

Abstract

In this paper, we study the existence and uniqueness of solutions to initial value problems associated to ordinary fuzzy differential equations with finite delay in the setting of a generalized Hukuhara derivative. Our approach is based on the results of fixed points of weakly contractive mappings on partially ordered metric spaces.

Keywords