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

Monotone iterative technique for a coupled system of nonlinear Hadamard fractional differential... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Applied Mathematics and Computing Springer Journals

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

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References (33)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Korean Society for Computational and Applied Mathematics
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Mathematical and Computational Engineering; Theory of Computation; Mathematics of Computing
ISSN
1598-5865
eISSN
1865-2085
DOI
10.1007/s12190-018-1192-x
Publisher site
See Article on Publisher Site

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.

Journal

Journal of Applied Mathematics and ComputingSpringer Journals

Published: Jun 1, 2018

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