Linear fractional fuzzy differential equations with Caputo derivative

Abdollahi, Rahman; Farshbaf Moghimi, Mohammad Bagher; Khastan, Alireza; Hooshmandasl, Mohammad Reza

Linear fractional fuzzy differential equations with Caputo derivative

Document Type : Research Paper

Authors

Rahman Abdollahi ¹
Mohammad Bagher Farshbaf Moghimi ¹
Alireza Khastan ²
Mohammad Reza Hooshmandasl ³

¹ Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

² Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan, Iran

³ Department of Computer Science, Yazd University, Yazd, Iran

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