Author/Authors :
Siah Mansori, Samira University of Applied Science and Technology Center of Poolad Peechkar, Varamin, , Gachpazan, Morteza Ferdowsi University Of Mashhad , Mashhad , Ahmady, Nazanin Islamic Azad University Varamin-Pishva Branch, Varamin , Ahmady, Elham Islamic Azad University Shahr-e-Qods Branch, Tehran
Abstract :
This paper seeks to investigate the existence and uniqueness of solutions to fuzzy differential equations driven by Liu's process. To this end, we provide andprove a novel existence and uniqueness theorem for fuzzy differential equations under Local Lipschitz and monotone conditions. This result allows us to consider and analyze solutions to a wide range of nonlinear fuzzy differential equations driven by Liu's process. To illustrate the main advantage of the approach some examples are finally given.
Keywords :
Fuzzy number , Fuzzy differential equation , Liu's process , Credibility space
