*Existence and uniqueness results of solution for the initial value problem of Hadamard fractional sequential differential systems*

**DOI:**10.54647/mathematics110481 54 Downloads 3953 Views

**Author(s)**

**Abstract**

In this paper, we study the existence and uniqueness of solutions for Hadamard fractional sequential differential systems involving the Hadamard fractional derivative with orders α ∈ (1,2] and β ∈ (2,3]. The main tools in our study are Banach fixed point theorem and schauder fixed point theorem. An example is provided to illustrate our main results.

**Keywords**

Hadamard fractional sequential differential system, Banach fixed point theorem, schauder fixed point theorem, existence and uniquness of solution.

**Cite this paper**

Ala Eddine TAIER, Ranchao Wu,
Existence and uniqueness results of solution for the initial value problem of Hadamard fractional sequential differential systems
, *SCIREA Journal of Mathematics*.
Volume 9, Issue 2, April 2024 | PP. 31-45.
10.54647/mathematics110481

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