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.

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Main Authors: Moulay Rchid Sidi Ammi, El Hassan El Kinani, Delfim F. M. Torres
Formáid: Artigo
Teanga:Inglês
Foilsithe: Texas State University 2012-06-01
Sraith:Electronic Journal of Differential Equations
Ábhair:
Riemann-Liouville operator
fractional calculus
fixed point theorem
Lipschitz condition
Rochtain Ar Líne:http://ejde.math.txstate.edu/Volumes/2012/103/abstr.html
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