Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations作者机构：Department of Mathematics Mawlana Bhashani Science and Technology University Tangail Bangladesh Basic Science Division World University of Bangladesh Dhaka Bangladesh
出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)
年 卷 期：2019年第7卷第4期
页 面：912-920页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Improved Kudryashov Method Time-Space Fractional KdV-Burger Equation Travelling Wave Solutions Jumarie’s Modified Riemann-Liouville Derivative
摘 要：Our purpose of this paper is to apply the improved Kudryashov method for solving various types of nonlinear fractional partial differential equations. As an application, the time-space fractional Korteweg-de Vries-Burger (KdV-Burger) equation is solved using this method and we get some new travelling wave solutions. To acquire our purpose a complex transformation has been also used to reduce nonlinear fractional partial differential equations to nonlinear ordinary differential equations of integer order, in the sense of the Jumarie’s modified Riemann-Liouville derivative. Afterwards, the improved Kudryashov method is implemented and we get our required reliable solutions where the results are justified by mathematical software Maple-13.
维普期刊数据库