A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions

Abstract

Abstract In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are established by using the Leray–Schauder alternative and Banach’s contraction mapping principle. Illustrative examples are also presented.

Keywords

• Fractional differential equations
• Caputo fractional derivative
• System
• Existence
• Fixed point theorems