A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients

Document Type: Research Articles

Authors

1 Department of Applied Mathematics, Faculty of Mathematics Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.

2 Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan.

Abstract

This paper we investigate the existence and uniqueness of solutions to fuzzy
di erential equations driven by Liu's process. For this, it is necessary to provide
and prove a new existence and uniqueness theorem for fuzzy di erential equations
under weak Lipschitz condition. Then the results allows us to consider
and analyze solutions to a wide range of nonlinear fuzzy di erential equations
driven by Liu's process.