Zagazig University Digital Repository
Home
Thesis & Publications
All Contents
Publications
Thesis
Graduation Projects
Research Area
Research Area Reports
Search by Research Area
Universities Thesis
ACADEMIC Links
ACADEMIC RESEARCH
Zagazig University Authors
Africa Research Statistics
Google Scholar
Research Gate
Researcher ID
CrossRef
The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
Faculty
Science
Year:
2011
Type of Publication:
Article
Pages:
1428-1434
Authors:
Gepreel, Khaled A
DOI:
10.1016/j.aml.2011.03.025
Journal:
APPLIED MATHEMATICS LETTERS PERGAMON-ELSEVIER SCIENCE LTD
Volume:
24
Research Area:
Mathematics
ISSN
ISI:000291173400030
Keywords :
Homotopy perturbation method, Fractional calculus, The fractional Kolmogorov-Petrovskii-Piskunov equation, Complex transformation
Abstract:
The fractional derivatives in the sense of Caputo, and the homotopy perturbation method are used to construct approximate solutions for nonlinear Kolmogorov-Petrovskii-Piskunov (KPP) equations with respect to time and space fractional derivatives. Also, we apply complex transformation to convert a time and space fractional nonlinear KPP equation to an ordinary differential equation and use the homotopy perturbation method to calculate the approximate solution. This method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations. (C) 2011 Elsevier Ltd. All rights reserved.
Online
PDF
جامعة المنصورة
جامعة الاسكندرية
جامعة القاهرة
جامعة سوهاج
جامعة الفيوم
جامعة بنها
جامعة دمياط
جامعة بورسعيد
جامعة حلوان
جامعة السويس
شراقوة
جامعة المنيا
جامعة دمنهور
جامعة المنوفية
جامعة أسوان
جامعة جنوب الوادى
جامعة قناة السويس
جامعة عين شمس
جامعة أسيوط
جامعة كفر الشيخ
جامعة السادات
جامعة طنطا
جامعة بنى سويف