Bibliographic Details
| Title: |
Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions. |
| Authors: |
Thabet, Sabri T. M.1,2,3 th.sabri@yahoo.com, Kedim, Imed4, Samei, Mohammad Esmael5, Abdeljawad, Thabet6,7,8,9 tabdeljawad@psu.edu.sa |
| Source: |
Mathematical Modelling & Analysis. 2025, Vol. 30 Issue 2, p386-404. 19p. |
| Subjects: |
Existence theorems, Pantograph, Nonlinear analysis, Integrals, Manuscripts |
| Abstract: |
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 Lipschitz's matrix and techniques from nonlinear analysis. Finally, illustrative example is enhanced to examine the effectiveness of the obtained results [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
