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

Document Type : Research Article

Authors

Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran

Abstract

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.

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Articles in Press, Accepted Manuscript
Available Online from 17 June 2026
  • Receive Date: 13 April 2026
  • Revise Date: 04 June 2026
  • Accept Date: 14 June 2026
  • Publish Date: 17 June 2026