A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability

Authors

• Mehboob Alam
• Akbar Zada
• Ioan-Lucian Popa
• Alireza Kheiryan
• Shahram Rezapour
• Mohammed K. A. Kaabar
• Universiti Malaya

Document Type

Article

Publication Date

8-21-2021

Abstract

In this work, we investigate the existence, uniqueness, and stability of fractional differential equation with multi-point integral boundary conditions involving the Caputo fractional derivative. By utilizing the Laplace transform technique, the existence of solution is accomplished. By applying the Bielecki-norm and the classical fixed point theorem, the Ulam stability results of the studied system are presented. An illustrative example is provided at the last part to validate all our obtained theoretical results.

Keywords

Caputo fractional derivative, Hybrid fractional differential equation and inclusion, Thermostat modeling

Publication Title

Boundary Value Problems

DOI

10.1186/s13661-021-01549-y

Recommended Citation

Alam, Mehboob; Zada, Akbar; Popa, Ioan-Lucian; Kheiryan, Alireza; Rezapour, Shahram; Kaabar, Mohammed K. A.; and Universiti Malaya, "A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability" (2021). Research Publications (2021 to 2025). 6741.
https://knova.um.edu.my/research_publications_2021_2025/6741

Volume

2021

Issue

1

Publisher

Springer Science and Business Media Deutschland GmbH