|
|
 |
| |
|
|
|
Stability and Uniqueness of Ulam–Hyers for Nonlinear Sequential Fractional Differential Equations with nonseparated Boundary Conditions |
|
|
|
PP: 129-137 |
|
|
|
doi:10.18576/pfda/110109
|
|
|
|
Author(s) |
|
|
|
Hamzeh Zureigat,
Areen Al-Khateeb,
Shawkat Alkhazaleh,
Belal Batiha,
|
|
|
|
Abstract |
|
|
| In various areas such as chemistry, physics,
engineering, and biology, fractional-order boundary value problems are valuable tools for modelling specific phenomena. This paper addressed the uniqueness, stability, and existence of solutions for a coupled system of sequential fractional differential equations of the Caputo type, which involves non-separated boundary conditions. To establish the existence of solutions, we employ the Leray-Schauder alternative, and to prove uniqueness, we rely on Banachs contraction principle. Furthermore, we explore the Hyers-Ulam stability of the presented system. Finally, an illustrative example is provided to demonstrate and assess relevant aspects of the problem. |
|
|
|
|
|
|
|
