WEAK SOLUTIONS OF COUPLED CAPUTO TYPE MODIFICATION OF THE ERDELYI-KOBER IMPLICIT FRACTIONAL DIFFERENTIAL SYSTEMS WITH RETARDED AND ADVANCED ARGUMENTS

In this paper, we investigate the existence of weak solutions for some coupled systems of fractional Caputo-type modification of the Erdelyi-Kober differential equations with retardation and anticipation. Our approach is based on Monch's fixed point theorem associated with the technique of measure of weak noncompactness. Finally, an example of our results is provided.