A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability
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
Divisions
MathematicalSciences
Publication Title
Boundary Value Problems
Volume
2021
Issue
1
Publisher
Springer
Publisher Location
ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES