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

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).

Keywords

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