A reliable analytical technique for fractional Caudrey-Dodd-Gibbon equation with Mittag-Leffler kernel
نویسندگان
چکیده
منابع مشابه
Reconstruction of Variational Iterative Method for Solving Fifth Order Caudrey-Dodd-Gibbon (CDG) Equation
Engineering problems and the solutions of many important physical problems are centered on finding accurate solutions to Nonlinear functions. Various approximation methods have been used for complex equations. One of the newest approximation methods is Reconstruction of variational iteration method (RVIM). In this Paper we use RVIM to solution N-soliton solutions for the fifth order Caudrey-Dod...
متن کاملApplication of the Variational Iteration Method for Solving the Fifth Order Caudrey-Dodd-Gibbon Equation
In this paper, the variational iteration method (VIM) is applied for solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation. We obtain the approximate solutions without unrealistic nonlinear assumptions , linearization, discretization or the calculation of Adomian's poly-nomials. Numerical results are presented to verify the efficiency of the VIM.
متن کاملMittag-Leffler-Hyers-Ulam Stability of Fractional Differential Equation
In this article, we study the Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of a class of fractional differential equation with boundary condition.
متن کاملA Lyapunov type inequality for fractional operators with nonsingular Mittag-Leffler kernel
In this article, we extend fractional operators with nonsingular Mittag-Leffler kernels, a study initiated recently by Atangana and Baleanu, from order [Formula: see text] to higher arbitrary order and we formulate their correspondent integral operators. We prove existence and uniqueness theorems for the Caputo ([Formula: see text]) and Riemann ([Formula: see text]) type initial value problems ...
متن کاملThe mean value theorem and Taylor’s theorem for fractional derivatives with Mittag–Leffler kernel
*Correspondence: [email protected] 1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK Full list of author information is available at the end of the article Abstract We establish analogues of the mean value theorem and Taylor’s theorem for fractional differential operators defined using a Mittag–Leffler kernel. We formulate a new model for the fract...
متن کاملذخیره 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: Nonlinear Engineering
سال: 2020
ISSN: 2192-8029,2192-8010
DOI: 10.1515/nleng-2020-0018