Malaysian Journal of Mathematical Sciences, September 2026, Vol. 20, No. 3
Analysis of Hybrid Coupled System with Nonlinear Conditions and Real World Applications
Shah, K., Khan, A., Abdeljawad, T., and Sher, M.
Corresponding Email: kshah@psu.edu.sa
Received date: 13 October 2025
Accepted date: 15 December 2025
Abstract:
We study a coupled hybrid system of fractional differential equations (FDEs) with the help of conformable fractional differential operator (CFDO). We deduce various results related to existence theory of solution, Ulam stability and numerical analysis for the concerned problem. The existence theory is studied by using fixed point theory, while stability analysis is based on the concepts of Ulam- Hyers. In addition, the fractional Runge-Kutta technique of order four (RK-4) is used to compute approximate solution of the mentioned problem.
The finding results are demonstrated by a real world application.
Keywords: system of differential problems; theory of fixed point; numerical tools; existence theory; stability theory.
