Boundary value problems for fractional differential inclusions with Hadamard type derivatives in Banach spaces

John R. Graef, Nassim Guerraiche, Samira Hamani


The authors establish sufficient conditions for the existence of solutions to boundary value problems for fractional differential inclusions involving the Hadamard type fractional derivative of order $\alpha \in (1,2]$ in Banach spaces. Their approach uses M\"onch's fixed point theorem and the Kuratowski measure of noncompacteness.


Fractional differential inclusion; Hadamard-type fractional derivative; fractional integral; M\"onch's fixed point theorem; Kuratowski measure of noncompacteness

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