أعضاء هيئة التدريس - جامعة بنها
Homotopy analysis method for q-difference equations
Ain Shams Engineering Journal • 2016
معلومات البحث
المؤلفون
Mourad S. Semary; Hany N. Hassan
الكلمات المفتاحية
Quantum calculus;
q-difference equations;
q-derivative;
Homotopy analysis method
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.
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.