Existence results of solutions for impulsive fractional differential equations

Abstract

We analyze the existence of solution for the neutral fractional integro-differential equation (FDE) of order in the interval (1, 2] with impulsive and integral boundary conditions (IBCs). The key approach for outcomes are based on the non-compactness measures and fixed point techniques.We obtain some sufficient conditions on the existence of solutions for the proposed system. Moreover, some applications are studies to demonstrate the proficiency and utility of the main results.

Keywords

• Fractional order differential equation
• Nonlocal conditions
• Contractions
• Impulsive conditions