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

محورهای موضوعی : Applied Mathematics

S. Siah-Mansouri ¹ , O. Solaymani Fard ² , M. M. Gachpazan ³

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

تاریخ دریافت : 1395/08/16 تاریخ پذیرش : 1395/10/23 تاریخ انتشار : 1396/09/10

کلید واژه: fuzzy numbers, fuzzy differential equation, Liu's process, Credibility space condition,

چکیده مقاله :

This paper we investigate the existence and uniqueness of solutions to fuzzydierential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy dierential equationsunder weak Lipschitz condition. Then the results allows us to considerand analyze solutions to a wide range of nonlinear fuzzy dierential equationsdriven by Liu's process.