Linear fractional fuzzy differential equations with Caputo derivative

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-7-2_008

تاریخ نمایه سازی: 15 بهمن 1401

Abstract:

In this paper, we study linear fractional fuzzy differential equations involving the Caputo generalized Hukuhara derivative. Using the fuzzy Laplace transform, we present the general form of solutions in terms of Mittag-Leffler functions. Finally, some examples are provided to illustrate our results.

Keywords:

Caputo fractional derivative , Fuzzy fractional differential equation , Fuzzy initial value problem , Fuzzy Laplace transform , Generalized Hukuhara differentiability

Authors

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Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

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Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

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Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran

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Department of Computer Science, Yazd University, Yazd, Iran