A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type

Authors

• Ahmed Nouara
• Abdelkader Amara
• Eva Kaslik
• Sina Etemad
• Shahram Rezapour
• Francisco Martinez
• Mohammed K. A. Kaabar

Document Type

Article

Publication Date

7-21-2021

Abstract

In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves Riemann-Liouville fractional derivatives and integrals of multi-orders type are derived using Dhage's technique, which deals with a composition of three operators. After that, its stability analysis of Ulam-Hyers type and the relevant generalizations are checked. Some illustrative numerical examples are provided at the end to illustrate and validate our obtained results.

Keywords

Hybrid boundary problem, Riemann-Liouville derivative, Dhage's technique, Stability

Publication Title

Advances in Difference Equations

Recommended Citation

Nouara, Ahmed; Amara, Abdelkader; Kaslik, Eva; Etemad, Sina; Rezapour, Shahram; Martinez, Francisco; and Kaabar, Mohammed K. A., "A study on multiterm hybrid multi-order fractional boundary value problem coupled with its stability analysis of Ulam-Hyers type" (2021). Research Publications (2021 to 2025). 12692.
https://knova.um.edu.my/research_publications_2021_2025/12692

Divisions

MathematicalSciences

Volume

2021

Issue

1

Publisher

Springer

Publisher Location

ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES