TY - JOUR
T1 - Applied Mathematical Techniques for the Stability and Solution of Hybrid Fractional Differential Systems
AU - Abazid, Mohammad Alakel
AU - Awadalla, Muath
AU - Manigandan, Murugesan
AU - Alahmadi, Jihan
N1 - Publisher Copyright:
© 2025 by the authors.
PY - 2025/3
Y1 - 2025/3
N2 - This paper addresses a coupled system of hybrid fractional differential equations governed by non-local Hadamard-type boundary conditions. The study focuses on proving the existence, uniqueness, and stability of the system’s solutions. To achieve this, we apply Banach’s fixed point theorem and the Leray–Schauder alternative, while the stability is verified through the Ulam–Hyers framework. Additionally, a numerical example is presented to illustrate the practical relevance of the theoretical findings.
AB - This paper addresses a coupled system of hybrid fractional differential equations governed by non-local Hadamard-type boundary conditions. The study focuses on proving the existence, uniqueness, and stability of the system’s solutions. To achieve this, we apply Banach’s fixed point theorem and the Leray–Schauder alternative, while the stability is verified through the Ulam–Hyers framework. Additionally, a numerical example is presented to illustrate the practical relevance of the theoretical findings.
KW - fractional derivative
KW - Hadamard operator
KW - hybrid
KW - stability
UR - http://www.scopus.com/inward/record.url?scp=105001142119&partnerID=8YFLogxK
U2 - 10.3390/math13060941
DO - 10.3390/math13060941
M3 - Article
AN - SCOPUS:105001142119
SN - 2227-7390
VL - 13
JO - Mathematics
JF - Mathematics
IS - 6
M1 - 941
ER -