Work

Existence and stability analysis to the sequential coupled hybrid system of fractional differential equations with two different fractional derivatives

Year: 2023

Type: article

Abstract: In this paper, we discussed the existence, uniqueness and Ulam-type stability of solutions for sequential coupled hybrid fractional differential equations with two derivatives. The uniqueness of solutions is established by means of Banach's contraction mapping principle, while the existence of solutions is derived from Leray-Schauder's alternative fixed point theorem. Further, the Ulam-type stability of the addressed problem is studied. Finally, an example is provided to check the validity of our obtained results.

Source: An International Journal of Optimization and Control Theories & Applications (IJOCTA)

DOI: 10.11121/ijocta.2023.1278

Authors: Mohamed Houas, Jehad Alzabut, Mahammad Khuddush

Institutions: Université Djilali Bounaama Khemis Miliana, Prince Sultan University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Prince Sultan University

OpenAlex ID: W4385380908

FWCI: 0.857

Cites: 36

Cited by: 4

Related to: 10