New generalized conformable fractional impulsive delay differential equations with some illustrative examples

Abstract

This article is concerned to develop a novel generalized class of fractional impulsive delay differential equations. These equations are defined using newly discovered generalized conformable fractional operators which unify various previously-defined operators into a single form. The successive approximation method is employed and a sufficient criterion for the existence and uniqueness of the solution is developed. For the sake of illustration, three examples are provided at the end of the main results.

Keywords

• fractional impulsive delay differential equations
• conformable operators
• successive approximation method
• banach spaces