Existence and uniqueness of solutions to functional integro-differential fractional equations

Existence and uniqueness of solutions to functional integro-differential fractional equations

Using a fixed point theorem in a Banach algebra, we prove an existence result for a fractional functional differential equation in the Riemann-Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also obtained.

Bibliographic Details
Main Authors: Moulay Rchid Sidi Ammi, El Hassan El Kinani, Delfim F. M. Torres
Format: Article
Language:English
Published: Texas State University 2012-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Riemann-Liouville operator
fractional calculus
fixed point theorem
Lipschitz condition
Online Access:http://ejde.math.txstate.edu/Volumes/2012/103/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2012/103/abstr.html

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