Journal ArticleDOI
Analytical solution of the Bagley Torvik equation by Adomian decomposition method
S. Saha Ray,Rati Kanta Bera +1 more
Reads0
Chats0
TLDR
An attempt has been made to obtain the solution of Bagley–Torvik equation by the relatively new Adomian decomposition method and a good agreement of the results is observed.About:
This article is published in Applied Mathematics and Computation.The article was published on 2005-09-01. It has received 164 citations till now. The article focuses on the topics: Fractional calculus & Adomian decomposition method.read more
Citations
More filters
Journal ArticleDOI
Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results
TL;DR: In this article, the authors present the analysis of new trends and recent results carried out during the last 10 years in the field of fractional calculus application to dynamic problems of solid mechanics.
Journal ArticleDOI
The Legendre wavelet method for solving fractional differential equations
Mujeeb ur Rehman,Rahmat Ali Khan +1 more
TL;DR: An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic equations in this paper, where the wavelet wavelet is used to solve the problem.
BookDOI
Advances in Intelligent Systems and Computing
Journal ArticleDOI
Analytical solution of the linear fractional differential equation by Adomian decomposition method
Yizheng Hu,Yong Luo,Zhengyi Lu +2 more
TL;DR: In this article, the n-term linear fractional-order differential equation with constant coefficients was considered and the solution of this kind of fractional differential equations by Adomian decomposition method was obtained.
Journal ArticleDOI
On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation
TL;DR: This Bagley Torvik equation has been solved by operational matrix of Haar wavelet method and the obtained result is compared with analytical solution suggested by Podlubny.
References
More filters
Book
An Introduction to the Fractional Calculus and Fractional Differential Equations
Kenneth S. Miller,Bertram Ross +1 more
TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.
Journal ArticleDOI
Analysis of Fractional Differential Equations
Kai Diethelm,Neville J. Ford +1 more
TL;DR: In this paper, the authors discuss existence, uniqueness, and structural stability of solutions of nonlinear differential equations of fractional order, and investigate the dependence of the solution on the order of the differential equation and on the initial condition.
Book
A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
TL;DR: In this paper, an Adams-type predictor-corrector method for the numerical solution of fractional differential equations is discussed, which may be used both for linear and nonlinear problems, and it may be extended tomulti-term equations (involving more than one differential operator) too.