Linear fractional fuzzy differential equations with Caputo derivative

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Abdollahi Rahman; Farshbaf Moghimi Mohamadbagher; KHASTAN ALIREZA; Hooshmandasl Mohammad Reza

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Journal Paper

Paper Information

Journal: Computational Methods for Differential Equations Year:2019 | Volume:7 | Issue:2 Page(s): 252-265

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Title

Linear fractional fuzzy differential equations with Caputo derivative

Author(s)

Abdollahi Rahman | Farshbaf Moghimi Mohamadbagher | KHASTAN ALIREZA | Hooshmandasl Mohammad Reza | Issue Writer Certificate

Keywords

aputo fractional derivative

Fuzzy fractional differential equation

Fuzzy initial value problem

Fuzzy Laplace transform

Generalized Hukuhara differentiability

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.

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APA: Copy

Abdollahi, Rahman, Farshbaf Moghimi, Mohamadbagher, KHASTAN, ALIREZA, & Hooshmandasl, Mohammad Reza. (2019). Linear fractional fuzzy differential equations with Caputo derivative. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 7(2), 252-265. SID. https://sid.ir/paper/345673/en

Vancouver: Copy

Abdollahi Rahman, Farshbaf Moghimi Mohamadbagher, KHASTAN ALIREZA, Hooshmandasl Mohammad Reza. Linear fractional fuzzy differential equations with Caputo derivative. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2019;7(2):252-265. Available from: https://sid.ir/paper/345673/en

IEEE: Copy

Rahman Abdollahi, Mohamadbagher Farshbaf Moghimi, ALIREZA KHASTAN, and Mohammad Reza Hooshmandasl, “Linear fractional fuzzy differential equations with Caputo derivative,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 7, no. 2, pp. 252–265, 2019, [Online]. Available: https://sid.ir/paper/345673/en

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