Geodesic
Existence results for systems of conformable fractional differential equations
Archivum mathematicum, Tome 55 (2019) no. 2, pp. 69-82.

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In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is $L^{1}_{\alpha }$-carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.
DOI : 10.5817/AM2019-2-69
Classification : 26A33, 34A08, 34A12, 34A34, 34B15, 34K37
Keywords: conformable fractional calculus; conformable fractional differential equations; solution-tube; Schauder’s fixed-point theorem; fractional Sobolev’s spaces 
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     title = {Existence results for systems of conformable fractional differential equations},
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Bendouma, Bouharket; Cabada, Alberto; Hammoudi, Ahmed. Existence results for systems of conformable fractional differential equations. Archivum mathematicum, Tome 55 (2019) no. 2, pp. 69-82. doi : 10.5817/AM2019-2-69. http://geodesic.mathdoc.fr/articles/10.5817/AM2019-2-69/

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