Upper and lower solutions methods for impulsive Caputo-Hadamard fractional differential inclusions

Date

2019-02-06

Authors

Belhannache, Farida
Hamani, Samira
Henderson, Johnny

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article we use the method of lower and upper solutions combined with the fixed point theorem by Bohnnenblust-Karlin to show the existence of solutions for initial-value problems of impulsive Caputo-Hadamard fractional differential inclusions of order in (0,1).

Description

Keywords

initial value problem, fractional differential equation, impulsive equation, Caputo-Hadamard fractional derivative, fractional integral, fixed point theorem, upper and lower solutions

Citation

Belhannache, F., Hamani, S., & Henderson, J. (2019). Upper and lower solutions methods for impulsive Caputo-Hadamard fractional differential inclusions. <i>Electronic Journal of Differential Equations, 2019</i>(22), pp. 1-13.

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Attribution 4.0 International

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