Hybrid fractional differential equations with fractional separated integral boundary conditions

  • Zidane Baitiche Mathematics and applied sciences laboratory, Ghardaia University, 47000, Algeria
  • Kaddour Guerbati Mathematics and applied sciences laboratory, Ghardaia University, 47000, Algeria
  • Mouffak Benchohra Mathematics and applied sciences laboratory, Ghardaia University, 47000, Algeria

Abstract

In this paper, we discuss the existence of solutions for hybrid fractional differential equations with fractional separated boundary conditions. An existence results is obtained with the use of the technique of measures of noncompactness in the Banach algebras and a fixed point theorem for the product of two operators verifying a Darbo type condition. As application, we give an example to illustrate our results.

Published
2020-08-25