Impulsive fractional differential equations in Banach spaces
M. Benchohra, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algérie E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 8., pp. 1-14.
D. Seba, Université de Boumerdes, Boumerdes, Algérie
| Communicated by P. Eloe. | Received on 2009-06-29 Appeared on 2009-10-01 |
Abstract: This paper is devoted to study the existence of solutions for a class of initial value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. The arguments are based upon M\"{o}nch's fixed point theorem and the technique of measures of noncompactness.
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