A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
الموضوعات :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.
الکلمات المفتاحية: fuzzy numbers, fuzzy differential equation, Liu's process, Credibility space condition,
ملخص المقالة :
This paper we investigate the existence and uniqueness of solutions to fuzzydi erential equations driven by Liu's process. For this, it is necessary to provideand prove a new existence and uniqueness theorem for fuzzy di erential equationsunder weak Lipschitz condition. Then the results allows us to considerand analyze solutions to a wide range of nonlinear fuzzy di erential equationsdriven by Liu's process.
