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

Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_MSJI-11-2_005

تاریخ نمایه سازی: 26 مرداد 1402

Abstract:

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.

Authors

S. Siah-Mansouri

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

O. Solaymani Fard

Department of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan.

M. M. Gachpazan

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