Staff Members - Benha University
Homotopy analysis method for q-difference equations
Ain Shams Engineering Journal • 2016
Publication Information
Authors
Mourad S. Semary; Hany N. Hassan
Keywords
Quantum calculus;
q-difference equations;
q-derivative;
Homotopy analysis method
Journal
Ain Shams Engineering Journal
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
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.
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.