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Title
Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems
Type of Research Article
Keywords
Caputo–Hadamard derivative, condensing function, topological degree theory, fractional boundary value problem (FBVP)
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.
Researchers Shahram Rezapour (First Researcher)، Salim Bin Chikh (Second Researcher)، Abdelkader Amara (Third Researcher)، Sotiris K. Ntouyas (Fourth Researcher)، Jessada Tariboon (Fifth Researcher)، Sina Etemad (Not In First Six Researchers)