Solvability for some class of multi-order nonlinear fractional systems

Abstract

Abstract The existence of some class of multi-order nonlinear fractional systems is investigated in this paper. Some sufficient conditions of solutions for multi-order nonlinear systems are obtained based on fixed point theorems. Our results in this paper improve some known results.

Keywords

• Nonlinear fractional differential system
• Fractional Green’s Function
• Fixed point theorem
• Multi-order