Convergence Quantum Analysis of Positive Solution for Caputo-Hadamard Fractional q-Differential Equations

In this research we obtain new results  of approximate solution for nonlinear singular p-Laplacian Caputo-Hadamard fractional \mathtt{q}-differential equation under infinite-point boundary conditions. The existence of unique iterative positive, error estimation, and convergence rate of approximate solution are obtained based on  the description of Green function with special properties and employing  appropriate substitution and appropriate cone. A few applications are demonstrated the validity of our achievements.

کلیدواژه ها:

Caputo-Hadamard q-fractional derivative ، positive solutions ، nonlinear analysis