| publication name | Homotopy analysis method for q-difference equations |
|---|---|
| Authors | Mourad S. Semary; Hany N. Hassan |
| year | 2016 |
| keywords | Quantum calculus; q-difference equations; q-derivative; Homotopy analysis method |
| journal | Ain Shams Engineering Journal |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
The q-difference equations are kind of important problems in q-calculus and applied mathematics. In this paper, the homotopy analysis method is extended to find approximate solution for some of q-differential equations. The q-diffusion equation and some examples are analytically investigated. The series solutions obtained by the proposed method are checked by reducing the solutions of q-calculus problems to h-calculus approximate solutions when q=1.