Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line

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∈(1,2] on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considere...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 6; pp. 6278 - 6292
Main Authors Benchohra, Mouffak, Graef, John R., Guerraiche, Nassim, Hamani, Samira
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
caputo-hadamard type derivative
diagonalization method
existence
fractional differential inclusions
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Summary: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∈(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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021368