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The homotopy analysis method for q-difference equations
Ain Shams Engineering Journal • 2016
Publication Information
Authors
M.S. Semary, H.N. Hassan
Keywords
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Journal
Ain Shams Engineering Journal
Publisher
Not Available
Volume
Not Available
Issue
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Pages
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publication.type
International
Paper Link
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Supplementary Materials
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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
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