Existence results for the Hadamard fractional diσerential equations and inclusions

In this paper, concerning non-local multi-point and integral boundary conditions, we investigate the existence and uniqueness of solutions for Hadamard fractional diσerential equations (HFDEs) and inclusions. In the case of equations, we use the Krasnoselskii fixed point theorem for the sum of two o...

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Bibliographic Details
Published in:Journal of physics. Conference series 2021-05, Vol.1850 (1), p.12122
Main Authors: Muthaiah, Subramanian, Baleanu, Dumitru, Zada, Akbar, Gopal, Thangaraj Nandha, Muthukumar, Shanmugam
Format: Article
Language:English
Subjects:
Boundary conditions
Fixed points (mathematics)
Inclusions
Mathematical analysis
Operators (mathematics)
Theorems
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Summary:In this paper, concerning non-local multi-point and integral boundary conditions, we investigate the existence and uniqueness of solutions for Hadamard fractional diσerential equations (HFDEs) and inclusions. In the case of equations, we use the Krasnoselskii fixed point theorem for the sum of two operators and Banach fixed point theorem, and Leray-Schauder’s alternative for multivalued maps and the fixed point theorem attributed to Covitz and Nadler for multivalued contractions for inclusions. Examples are given to clarify our main results. Finally, we discuss some variants of the given problem.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1850/1/012122