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

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 th...

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Bibliographic Details
Main Authors: Shahram Rezapour, Salim Ben Chikh, Abdelkader Amara, Sotiris K. Ntouyas, Jessada Tariboon, Sina Etemad
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/7/719
Description
Summary: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.
ISSN:2227-7390