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Mathematical Methods in the Applied Sciences
Article . 2020 . Peer-reviewed
License: Wiley Online Library User Agreement
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2021
Data sources: zbMATH Open
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Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions

Coupled fractional differential equations involving Caputo-Hadamard derivative with nonlocal boundary conditions
Authors: Ankit Nain; Ramesh Vats; Avadhesh Kumar;

Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions

Abstract

This paper aims to study the sufficient conditions for the existence and uniqueness of solutions to the multipoint coupled boundary value problem of nonlinear Caputo–Hadamard fractional differential equations associating with nonlocal integral boundary conditions. The required conditions are obtained by using classical results of functional analysis and fixed point theory. Furthermore, the Hyers–Ulam stability of solutions is discussed, and sufficient conditions for the stability are developed. Obtained results are supported by examples and illustrated in the last section.

Keywords

coupled, Applications of operator theory to differential and integral equations, boundary value problem, fixed point theorem, Fractional ordinary differential equations, Nonlocal and multipoint boundary value problems for ordinary differential equations, Caputo-Hadamard fractional derivative

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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!
23
Top 10%
Top 10%
Top 10%
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