Geodesic
Integrable solutions for implicit fractional order functional differential equations with infinite delay
Archivum mathematicum, Tome 51 (2015) no. 2, pp. 67-76.

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In this paper we study the existence of integrable solutions for initial value problem for implicit fractional order functional differential equations with infinite delay. Our results are based on Schauder type fixed point theorem and the Banach contraction principle fixed point theorem.
DOI : 10.5817/AM2015-2-67
Classification : 26A33, 34A08, 34K37
Keywords: implicit fractional-order differential equation; Caputo fractional derivative, integrable solution; existence fixed point; infinite delay 
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Benchohra, Mouffak; Souid, Mohammed Said. Integrable solutions for implicit fractional order functional differential equations with infinite delay. Archivum mathematicum, Tome 51 (2015) no. 2, pp. 67-76. doi : 10.5817/AM2015-2-67. http://geodesic.mathdoc.fr/articles/10.5817/AM2015-2-67/

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