A study on some classes of fractional differential equations with retardation and anticipation

Abstract

Functional di erential equations occur in a variety of areas of biological, physical, and engineering applications, and such equations have received much attention in recent years. This work memoir the existence of solutions and random solutions for some implicit fractional di erential equations, involving both retarded and advanced arguments, with generalized Caputo fractional derivative. Our results will be obtained by means of xed points theorems and by the technique of measures of noncompactness