DOI: 10.24193/fpt-ro.2023.2.10

Authors: Nassim Guerraiche, Samira Hamani and Johnny Henderson

Abstract: For r ∈ (1,2], we establish sufficient conditions for the existence of oscillatory and nonoscillatory solutions to a boundary value problem for an rth order Caputo-Hadamard fractional differential inclusion in a Banach space. Our approach is based upon the set-valued analog of Mönch's fixed point theorem combined with the technique of measure of noncompactness.

Key Words and Phrases: Existence, oscillatory, nonoscillatory, fractional differential inclusions, Caputo-Hadamard type derivative, fixed point, measure of noncompactness.

2010 Mathematics Subject Classification: 34A08, 26A33, 47H10.

Published on-line: June 15th, 2023.

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