TY - JOUR
T1 - Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions
AU - Thabet, Sabri T.M.
AU - Kedim, Imed
AU - Samei, Mohammad Esmael
AU - Abdeljawad, Thabet
N1 - Publisher Copyright:
© 2025 The Author(s).
PY - 2025/4/18
Y1 - 2025/4/18
N2 - This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving Atangana-Baleanu-Caputo derivatives, complemented by hybrid integral boundary conditions. Dhage’s fixed point theorem is employed to investigate the existence theorem of the solutions, while uniqueness is proven by using Perov’s approach and Lipschitz’s matrix. The Hyers-Ulam (HU) stability is also demonstrated using the Lip-schitz’s matrix and techniques from nonlinear analysis. Finally, illustrative example is enhanced to examine the effectiveness of the obtained results.
AB - This manuscript investigates the qualitative analysis of a new hybrid fractional pantograph system involving Atangana-Baleanu-Caputo derivatives, complemented by hybrid integral boundary conditions. Dhage’s fixed point theorem is employed to investigate the existence theorem of the solutions, while uniqueness is proven by using Perov’s approach and Lipschitz’s matrix. The Hyers-Ulam (HU) stability is also demonstrated using the Lip-schitz’s matrix and techniques from nonlinear analysis. Finally, illustrative example is enhanced to examine the effectiveness of the obtained results.
KW - Caputo-Atangana-Baleanu operator
KW - Dhage and Perov techniques
KW - Lipschitzian’s matrix
KW - coupled hybrid fractional differential system
KW - pantograph problem
UR - https://www.scopus.com/pages/publications/105007227826
U2 - 10.3846/mma.2025.22328
DO - 10.3846/mma.2025.22328
M3 - Article
AN - SCOPUS:105007227826
SN - 1392-6292
VL - 30
SP - 386
EP - 404
JO - Mathematical Modelling and Analysis
JF - Mathematical Modelling and Analysis
IS - 2
ER -