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

Volume 9, Issue 2, April 2024     |     PP. 31-45      |     PDF (1202 K)    |     Pub. Date: April 18, 2024
DOI: 10.54647/mathematics110481    54 Downloads     3998 Views  

Author(s)

Ala Eddine TAIER, School of Mathematical Sciences, Anhui University, Hefei 230039, China
Ranchao Wu, School of Mathematical Sciences, Anhui University, Hefei 230039, China

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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