Positive solutions of nonlinear fractional boundary value problems using homotopy perturbation method

机译：非线性分数阶边值问题的同伦摄动正解

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摘要

In this paper, we apply homotopy perturbation method for solving the fractional nonlinear two-point boundary value problem Dαu(x) + μF(x,u(x)) = 0,0

机译：在本文中，我们采用同伦扰动方法来解决分数阶非线性两点边值问题Dαu（x）+μF（x，u（x））= 0,0

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-4|共4页
会议地点 Nanjing(CN)
作者
H. Jafari; C.M. Khalique; Dumitru Baleanu;
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作者单位

Department of Mathematics, University of Mazandaran, Babolsar,Iran;

International Institute for Symmetry Analysis and MathematicalModelling, Department of Mathematical Sciences, North-WestUniversity, Maˉkeng Campus, Private Bag X 2046, Mmabatho 2735,South Africa;

Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, ankaya University, Balgat 0630, Ankara, Turkey,and Institute of Space Sciences, Magurele-Bucharest,Romania;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Caputo derivative; Fractional Bratu equation; homotopy perturbation method.;

机译：Caputo导数;分数阶Bratu方程;同伦摄动法;

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1. Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order [J] . HosseinJafari, KhadijehBagherian, Seithuti P.Moshokoa Abstract and applied analysis . 2014,第15期

机译：同型扰动方法获得分数阶非线性边值问题的正解
2. Analytical solutions for the fractional nonlinear cable equation using a modified homotopy perturbation and separation of variables methods [J] . Irandoust-Pakchin S., Javidi M., Kheiri H. Computational mathematics and mathematical physics . 2016,第1期

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3. Approximate Solution of Nonlinear fractional Integro-Di erential Equations By He's Homotopy Perturbation Method And The Modi cation of He's Variational Iteration Method [J] . M.H. Saleh, D.SH. Mohamed, M.H. Ahmed, Mathematical Theory and Modeling . 2015,第4期

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4. Positive solutions of nonlinear fractional boundary value problems using homotopy perturbation method [C] . H. Jafari, C.M. Khalique, Dumitru Baleanu Symposium on fractional differentiation and its applications . 2012

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5. Positive solutions of higher order boundary value problems of nonlinear fractional differential equations. [D] . McCabe, Michael. 2014

机译：非线性分数阶微分方程的高阶边值问题的正解。
6. An approximate analytical solution of the Allen-Cahn equation using homotopy perturbation method and homotopy analysis method [O] . Safdar Hussain, Abdullah Shah, Sana Ayub, 2019

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7. Homotopy Perturbation Method to Obtain Positive Solutions of Nonlinear Boundary Value Problems of Fractional Order [O] . Hossein Jafari, Khadijeh Bagherian, Seithuti P. Moshokoa 2014

机译：同型扰动方法获得分数阶非线性边值问题的正解

Positive solutions of nonlinear fractional boundary value problems using homotopy perturbation method

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