Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems

Shahram Rezapour, Salim Ben Chikh, Abdelkader Amara, Sotiris K. Ntouyas, Jessada Tariboon and Sina Etemad
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Shahram Rezapour: Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 404, Taiwan
Salim Ben Chikh: Laboratory of Applied Mathematics, University of Kasdi Merbah Ouargla, Ouargla 30000, Algeria
Abdelkader Amara: Laboratory of Applied Mathematics, University of Kasdi Merbah Ouargla, Ouargla 30000, Algeria
Sotiris K. Ntouyas: Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece
Jessada Tariboon: Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Sina Etemad: Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz 51368, Iran

Mathematics, 2021, vol. 9, issue 7, 1-17

Abstract: In this paper, we studied the existence results for solutions of a new class of the fractional boundary value problem in the Caputo–Hadamard settings. Moreover, boundary conditions of this fractional problem were formulated as the mixed multi-order Hadamard integro-derivative conditions. To prove the main existence results, we applied two well-known techniques in the topological degree and fixed point theories. Finally, we provide two examples to show the compatibility of our theoretical findings.

Keywords: Caputo–Hadamard derivative; condensing function; topological degree theory; fractional boundary value problem (FBVP) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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