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Authors: JOHN R. GRAEF, NASSIM GUERRAICHE, SAMIRA HAMANI.
DOI: 10.24193/subbmath.2017.4.02
Published Online: 2017-12-03
Published Print: 2017-12-03
pp. 427-438
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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 α ∈(1, 2] in Banach spaces. Their approach uses Monch’s fixed point theorem and the Kuratowski measure of noncompacteness.
Mathematics Subject Classification (2010): 26A33, 34A08, 34A60, 34B15.
Keywords: Fractional differential inclusion, Hadamard-type fractional derivative, fractional integral, Monch’s fixed point theorem, Kuratowski measure of noncompacteness.
