Existence of solutions to fractional-order impulsive hyperbolic partial differential inclusions

Abstract

In this article we use the upper and lower solution method combined with a fixed point theorem for condensing multivalued maps, due to Martelli, to study the existence of solutions to impulsive partial hyperbolic differential inclusions at fixed instants of impulse.

Keywords

• Impulsive hyperbolic differential inclusions
• fractional order
• upper solution
• lower solution
• left-sided mixed Riemann-Liouville
• integral
• Caputo fractional-order derivative
• fixed point