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

الموضوعات :

S. Siah-Mansouri ¹ (Department of Applied Mathematics, Faculty of Mathematics Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.)
O. Solaymani Fard ² (Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan.)
M. M. Gachpazan ³ (Department of Applied Mathematics, Faculty of Mathematics Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.)

تاريخ الإرسال : 06 الأحد , صفر, 1438 تاريخ التأكيد : 14 الخميس , ربيع الثاني, 1438 تاريخ الإصدار : 13 الجمعة , ربيع الأول, 1439

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 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.