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Dr. Hany Nasr Hassan Mohammed :: Publications: |
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| Title: | 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 | Not Available |
| 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. |
