Existence and stability for fractional order pantograph equations with nonlocal conditions

Abstract

In this article we study the a coupled system of fractional pantograph differential equations (FPDEs). Using degree theory, we state necessary conditions for the existence of solutions to a coupled system of fractional partial differential equations with non-local boundary conditions. Also using tools from non-linear analysis, we establish some stability results. We illustrate our theoretical results with a test problem.

Keywords

• coupled system
• non-local boundary conditions
• stability theory
• pantograph equation