Mouffak Benchohra, Sara Litimein

Existence Results for a New Class of Fractional Integro-Differential Equations with State Dependent Delay

In this paper we investigate the existence and uniqueness of solutions on a compact interval for non-linear fractional integro-differential equations with state-dependent delay and non-instantaneous impulses. Our results are based on the Banach contraction principle and the Krasnoselkii fixed point theorem. For the illustration of the results, an example is also discussed.

Mathematics Subject Classification: 26A33, 34A37, 34G20

Key words and phrases: Fractional integro-differential equations, sectorial operators, state-dependent delay, resolvent of operators, non-instantaneous impulse conditions