The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order $ r \in (1, 2] $ on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considered. The technique of proof involves fixed point theorems combined with a diagonalization method.
Citation: Mouffak Benchohra, John R. Graef, Nassim Guerraiche, Samira Hamani. Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line[J]. AIMS Mathematics, 2021, 6(6): 6278-6292. doi: 10.3934/math.2021368
The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order $ r \in (1, 2] $ on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considered. The technique of proof involves fixed point theorems combined with a diagonalization method.
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Mouffak Benchohra, John R. Graef, Nassim Guerraiche, Samira Hamani. Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line[J]. AIMS Mathematics, 2021, 6(6): 6278-6292. doi: 10.3934/math.2021368
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