Title of article :
A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
Author/Authors :
Siah-Mansoori, S. Department of Applied Mathematics - Faculty of Mathematics Sciences - Ferdowsi University of Mashhad , Solaymani Fard, O. Department of Applied Mathematics - School of Mathematics and Computer Science - Damghan University , Gachpazan, M. Department of Applied Mathematics - Faculty of Mathematics Sciences - Ferdowsi University of Mashhad
Abstract :
This paper we investigate the existence and uniqueness of solutions to fuzzy differential equations driven by Liu’s process. For this, it is necessary to provide and prove a new existence and uniqueness theorem for fuzzy differential equations under weak Lipschitz condition. Then the results allows us to consider and analyze solutions to a wide range of nonlinear fuzzy differential equations driven by Liu’s process.
Keywords :
Fuzzy numbers , Fuzzy differential equation , Liu’s process , Credibility space condition
Journal title :
نظريه تقريب و كاربردهاي آن
