Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay |
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| Authors: | GM Mophou |
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| Institution: | a Département de Mathématiques et Informatique, Université des Antilles et de La Guyane, Campus Fouillole 97159 Pointe-à-Pitre, Guadeloupe (FWI)
b Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA |
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| Abstract: | We deal in this paper with the mild solution for fractional semilinear differential equations with infinite delay:  with T>0 and 0<α<1. We prove the existence (and uniqueness) of solutions, assuming that A generates an α-resolvent family (Sα(t))t?0 on a complex Banach space X by means of classical fixed points methods. |
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| Keywords: | Fractional abstract differential equation Infinite delay Mild solution |
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