APPLICATION OF THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL TO KORTEWEG-DE VRIES-BURGERS EQUATION∗

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An exact solution to the Korteweg-de Vries-Burgers equation

In this letter, applying a series of coordinate transformations, we obtain a new class of solutions of the Korteweg–de Vries–Burgers equation, which arises in the theory of ferroelectricity. © 2005 Elsevier Ltd. All rights reserved.

متن کامل

Global Boundary Stabilization of the Korteweg-de Vries-Burgers Equation∗

The problem of global exponential stabilization by boundary feedback for the Korteweg-de Vries-Burgers equation on the domain [0, 1] is considered. We derive a control law of the form u(0) = ux(1) = uxx(1) − k[u(1)3 + u(1)] = 0, where k is a sufficiently large positive constant, and prove that it guarantees L2-global exponential stability, H3-global asymptotic stability, and H3-semiglobal expon...

متن کامل

The Korteweg-de Vries-Burgers equation and its approximate solution

This article may be used for research, teaching and private study purposes. Any substantial or systematic reproduction, redistribution , reselling , loan or sub-licensing, systematic supply or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to da...

متن کامل

A Novel Approach for Korteweg-de Vries Equation of Fractional Order

In this study, the localfractional variational iterationmethod (LFVIM) and the localfractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractionalderivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very ef...

متن کامل

Solitary Front-like Wave Solutions of the Korteweg-de Vries-Burgers' Equation

is a physically important nonlinear Galilean-invariant system describing slow changes in linear waves due to a combination of nonlinearity, dispersion and dissipative effects [1]. When the dissipation is dominant, (1) is known to possess shock-like solitary waves [2] while in the pure dispersive limit (y = 0), (1) admits the well known K-dV solitons [3]. In the case of weak dissipation in (1), ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mathematical Modelling and Analysis

سال: 2016

ISSN: 1392-6292,1648-3510

DOI: 10.3846/13926292.2016.1145607