Existence and Uniqueness of Positive Solutions for Variable-Order Fractional q-Difference Systems with p-Laplacian Operator, Time Delay, and Integral Boundary Conditions

Description

This dataset contains the numerical implementation and simulation results for the paper "Existence and Uniqueness of Positive Solutions for Variable-Order Fractional q-Difference Systems with p-Laplacian Operator, Time Delay, and Integral Boundary Conditions". The included files comprise: · Iterative convergence data (residual norms) for Examples 4.1 and 4.2, corresponding to the linear (p=2) and nonlinear (p=3) p-Laplacian cases, respectively; · Approximate positive solution profiles u(t) and v(t) obtained via the iterative scheme (3.11); · Implementation code for the piecewise constant approximation of variable fractional orders \alpha(t) and \beta(t); · Discretized variable-order Green's functions G_{\alpha(t)}(t,qs) and G_{\beta(t)}(t,qs) used in the numerical experiments. All computations are performed on a uniform grid with N=100 nodes, and q-integrals are approximated by the standard left-endpoint q-Riemann sum. The iteration terminates when the relative residual falls below 10^{-6}. The data fully support the theoretical findings and can be used to reproduce Figures 1–4 in the manuscript.

Institutions

• Shanxi Datong University

  Shanxi, Datong

Categories

Licence