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Journal of Applied Mathematics and Computing

Erschienen in:

01.06.2018 | Original Research

Monotone iterative technique for a coupled system of nonlinear Hadamard fractional differential equations

verfasst von: Wengui Yang

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2019

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Abstract

In this paper, we investigate the extremal solutions for a coupled system of nonlinear Hadamard fractional differential equations with Cauchy initial value conditions. By using the comparison principle and the monotone iterative technique combined with the method of upper and lower solutions, we obtain the existence and iterative methods of extremal solution to the system. Finally, an example with numerical simulation is given to show the effectiveness of our main results.

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Titel: Monotone iterative technique for a coupled system of nonlinear Hadamard fractional differential equations
verfasst von: Wengui Yang
Publikationsdatum: 01.06.2018
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2019
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-018-1192-x

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