On a sequential fractional differential problem with Riemann-Liouville integral conditions

Abstract

In this paper, we are concerned with a new boundary value problem of sequential fractional type with nonlocal Riemann-Liouville integral conditions. Using the principle of Banach, so we present and we establish a new result for the uniqueness of integrals for our problem. Then, by Schaeffer fixed point theorem, an existence result is proved. At the end, some examples are illustrated and then discussed.

Subject Classification: (2010):

• 26D15
• 60E15

Keywords:

• Caputo derivative
• Fixed point
• Existence
• Sequential differential equation