ERDÉLYI-KOBER FRACTIONAL DIFFERENTIAL INCLUSIONS IN BANACH SPACE WITH RETARDED AND ADVANCED ARGUMENTS.

We provide some sufficient conditions ensuring the existence of solutions of Caputo type modification of the Erdélyi-Kober fractional differential inclusions in Banach spaces with retarded and advanced arguments. We use Mönch's and Darbo's fixed point theorems and the concept of a measure of noncompactness. As illustration, an example is presented. [ABSTRACT FROM AUTHOR]