Caputo type modification of the Erdelyi-Kober fractional implicit differential equations with retarded and advanced arguments in Banach spaces

  • Mouffak Benchohra
  • Farida Berhoun
  • Mokhtar Boumaaza
  • Seenith Sivasundaram


This article deals with results concerning the existence of solutions for some functional implicit of Caputo type modification of the Erd\'elyi-Kober fractional differential equations, with both retarded and advanced arguments. The results are based on the M\"{o}nch’s and Darbo's fixed point theorem associated with the technique of measure of noncompactness, and we present an illustrative example.