Geodesic
Semilinear fractional order integro-differential equations with infinite delay in Banach spaces
Archivum mathematicum, Tome 49 (2013) no. 2, pp. 105-117.

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This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski’s measure of noncompactness and Mönch’s fixed point theorem. An example to illustrate the applications of main results is given.
DOI : 10.5817/AM2013-2-105
Classification : 26A33, 34G20, 34K30, 34K37
Keywords: semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space 
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Aissani, Khalida; Benchohra, Mouffak. Semilinear fractional order integro-differential equations with infinite delay in Banach spaces. Archivum mathematicum, Tome 49 (2013) no. 2, pp. 105-117. doi : 10.5817/AM2013-2-105. http://geodesic.mathdoc.fr/articles/10.5817/AM2013-2-105/

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