Moulay Rchid Sidi Ammi, El Hassan El Kinani, Delfim F. M. Torres
Abstract:
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.
Submitted January 27, 2012. Published June 20, 2012.
Math Subject Classifications: 26A33, 47H10.
Key Words: Riemann-Liouville operator; fractional calculus;
fixed point theorem; Lipschitz condition.
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Moulay Rchid Sidi Ammi Faculty of Sciences and Techniques Moulay Ismail University, AMNEA Group Errachidia, Morocco email: sidiammi@ua.pt |
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El Hassan El Kinani Faculty of Sciences and Techniques Moulay Ismail University, GAA Group Errachidia, Morocco email: elkinani_67@yahoo.com |
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Delfim F. M. Torres Center for Research and Development in Math. and Appl. (CIDMA) Department of Mathematics, University of Aveiro Campus Universitário de Santiago 3810-193 Aveiro, Portugal email: delfim@ua.pt |
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