Title of article :
Linear fractional fuzzy differential equations with Caputo derivative
Author/Authors :
Abdollahi ، Rahman - University of Mohaghegh Ardabili Mohaghegh Ardabili , Farshbaf Moghimi ، Mohammad Bagher - University of Mohaghegh Ardabili Mohaghegh Ardabili , Khastan ، Alireza - Institute for Advanced Studies in Basic Sciences (IASBS) Studies in Basic Sciences (IASBS) , Hooshmandasl ، Mohammad Reza - Yazd University
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 MittagLeffler 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
Journal title :
Computational Methods for Differential Equations
Journal title :
Computational Methods for Differential Equations