Electron. J. Diff. Equ., Vol. 2011 (2011), No. 34, pp. 1-8.

Fractional differential equation with the fuzzy initial condition

Sadia Arshad, Vasile Lupulescu

Abstract:
In this paper we study the existence and uniqueness of the solution for a class of fractional differential equation with fuzzy initial value. The fractional derivatives are considered in the Riemann-Liouville sense.

Submitted September 23, 2010. Published February 23, 2011.
Math Subject Classifications: 34A07, 34A12.
Key Words: Fuzzy differential equation; fractional calculus; initial value problem

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  Sadia Arshad
Government College University
Abdus Salam School of Mathematical Sciences
Lahore, Pakistan
email: sadia_735@yahoo.com
Vasile Lupulescu
Department of Mathematics
"Constantin Brancusi"- University of Targu Jiu, Romania
email: lupulescu_v@yahoo.com

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