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The homotopy analysis method for q-difference equations

Ain Shams Engineering Journal • 2016
العودة
معلومات البحث
المؤلفون M.S. Semary, H.N. Hassan
الكلمات المفتاحية Not Available
المجلة العلمية Ain Shams Engineering Journal
الناشر Not Available
المجلد Not Available
العدد Not Available
الصفحات Not Available
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
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