Existence of solutions for a system of mixed fractional differential equations

Abstract

The aim of this work is to investigate, by the help of Krasnoselskii's fixed point theorem, the existence of solutions for a system of fractional differential equations involving left and right Riemann–Liouville fractional derivatives. The presence of mixed type derivatives lead to great difficulties. We believe that the obtained results are new and will contribute to the development of fractional differential equations.

Keywords

• Krasnoselskii's fixed point theorem
• existence of solution
• fractional differential equation
• Riemann–Liouville fractional derivative