A novel existence and uniqueness theorem for solutions to FDEs driven by Lius process with weak Lipschitz coefficients
Publish place: Theory of Approximation and Applications، Vol: 11، Issue: 2
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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JR_MSJI-11-2_005
تاریخ نمایه سازی: 26 مرداد 1402
Abstract:
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.
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.