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Mathematics
Article . 2021 . Peer-reviewed
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Mathematics
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Mathematics
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Existence Results for Caputo–Hadamard Nonlocal Fractional Multi-Order Boundary Value Problems

Authors: Shahram Rezapour; Salim Ben Chikh; Abdelkader Amara; Sotiris K. Ntouyas; Jessada Tariboon; Sina Etemad;

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

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, topological degree theory, condensing function, QA1-939, fractional boundary value problem (FBVP), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Top 10%
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