### Existence Theorems for a Coupled System of Nonlinear Multi- Term Fractional Differential Equations with Nonlocal Boundary Conditions

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**Authors:**B. AHMAD, A. ALSAEDI, N. ALGHAMDI AND S. K. NTOUYAS

**DOI:**10.46793/KgJMat2202.317A

**Abstract:**

We discuss the existence and uniqueness of solutions for a coupled system of nonlinear multi-term fractional diﬀerential equations complemented with coupled nonlocal boundary conditions by applying the methods of modern functional analysis. An example illustrating the uniqueness result is presented. Some interesting observations are also described.

**Keywords:**

Coupled system, multi-term fractional diﬀerential equations, Caputo fractional derivative, nonlocal boundary conditions, existence.

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