On the fractional signals and systems
A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
is done in this paper. A coherent approach to the fractional derivative is presented, leading …
An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
JH He - International Journal of Modern Physics B, 2008 - World Scientific
This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …
asymptotic methods and new developments. Particular attention is paid throughout the …
[图书][B] Fractional derivative modeling in mechanics and engineering
Classic Newtonian mechanics assumes that space and time are continuous everywhere.
The basic physical quantities (eg speed, acceleration and force) can be described by an …
The basic physical quantities (eg speed, acceleration and force) can be described by an …
[图书][B] Fractional derivatives for physicists and engineers
VV Uchaikin - 2013 - Springer
“God made the integers; all else is the work of man” 1. For centuries, the ancients were
satisfied with using natural numbers called simply “numbers”. What we call irrational …
satisfied with using natural numbers called simply “numbers”. What we call irrational …
[HTML][HTML] Variational iteration method: new development and applications
JH He, XH Wu - Computers & Mathematics with Applications, 2007 - Elsevier
Variational iteration method has been favourably applied to various kinds of nonlinear
problems. The main property of the method is in its flexibility and ability to solve nonlinear …
problems. The main property of the method is in its flexibility and ability to solve nonlinear …
Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
Y Li, W Zhao - Applied mathematics and computation, 2010 - Elsevier
Haar wavelet operational matrix has been widely applied in system analysis, system
identification, optimal control and numerical solution of integral and differential equations. In …
identification, optimal control and numerical solution of integral and differential equations. In …
[HTML][HTML] The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
Variational iteration method has been used to handle linear and nonlinear differential
equations. The main property of the method lies in its flexibility and ability to solve nonlinear …
equations. The main property of the method lies in its flexibility and ability to solve nonlinear …
Solving differential equations of fractional order using an optimization technique based on training artificial neural network
M Pakdaman, A Ahmadian, S Effati… - Applied Mathematics …, 2017 - Elsevier
The current study aims to approximate the solution of fractional differential equations (FDEs)
by using the fundamental properties of artificial neural networks (ANNs) for function …
by using the fundamental properties of artificial neural networks (ANNs) for function …
The homotopy perturbation method for fractional differential equations: part 1 Mohand transform
Purpose This study aims that very lately, Mohand transform is introduced to solve the
ordinary and partial differential equations (PDEs). In this paper, the authors modify this …
ordinary and partial differential equations (PDEs). In this paper, the authors modify this …
[HTML][HTML] A study on the convergence of variational iteration method
ZM Odibat - Mathematical and Computer Modelling, 2010 - Elsevier
Variational iteration method has been widely used to handle linear and nonlinear models.
The main property of the method is its flexibility and ability to solve nonlinear equations …
The main property of the method is its flexibility and ability to solve nonlinear equations …