Initial value problems for fractional functional differential inclusions with Hadamard type derivative

Guerraiche, Nassim   ; Hamani, Samira   ; Henderson, Johnny

Archivum mathematicum, Tome 52 (2016) no. 4, pp. 263-273

Abstract (VO)

We establish sufficient conditions for the existence of solutions of a class of fractional functional differential inclusions involving the Hadamard fractional derivative with order $\alpha \in (0,1]$. Both cases of convex and nonconvex valued right hand side are considered.

Détail

DOI : 10.5817/AM2016-4-263

Classification : 26A33, 34A60
Keywords: fractional differential inclusion; Hadamard-type fractional derivative; fractional integral; fixed point; convex

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