Darboux problem for implicit impulsive partial hyperbolic fractional order differential equations

Abstract

In this article we investigate the existence and uniqueness of solutions for the initial value problems, for a class of hyperbolic impulsive fractional order differential equations by using some fixed point theorems.

Keywords

• Hyperbolic differential equation
• fractional order
• Riemann-Liouville integral
• mixed regularized derivative
• impulse
• fixed point