[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] A new operational matrix for solving fractional-order differential equations
A Saadatmandi, M Dehghan - Computers & mathematics with applications, 2010 - Elsevier
Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …
found to be best described by fractional differential equations. For that reason we need a …
[HTML][HTML] Variational iteration method—some recent results and new interpretations
JH He - Journal of computational and applied mathematics, 2007 - Elsevier
This paper is an elementary introduction to the concepts of variational iteration method. First,
the main concepts in variational iteration method, such as general Lagrange multiplier …
the main concepts in variational iteration method, such as general Lagrange multiplier …
[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 …
Solution of fractional differential equations by using differential transform method
A Arikoglu, I Ozkol - Chaos, Solitons & Fractals, 2007 - Elsevier
In this study, we implement a well known transformation technique, Differential Transform
Method (DTM), to the area of fractional differential equations. Theorems that never existed …
Method (DTM), to the area of fractional differential equations. Theorems that never existed …
Fractional variational iteration method and its application
Fractional differential equations have been investigated by variational iteration method.
However, the previous works avoid the term of fractional derivative and handle them as a …
However, the previous works avoid the term of fractional derivative and handle them as a …
Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★
This paper discusses the quasi-uniform synchronization issue for fractional-orderneural
networks (FONNs) with leakage and discrete delays. The impacts of leakage delay, discrete …
networks (FONNs) with leakage and discrete delays. The impacts of leakage delay, discrete …
[图书][B] Метод дробных производных
ВВ Учайкин - 2008 - elibrary.ru
Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …
раскрывающих физические основания метода, математический аппарат и примеры …
Homotopy perturbation method for nonlinear partial differential equations of fractional order
The aim of this Letter is to present an efficient and reliable treatment of the homotopy
perturbation method (HPM) for nonlinear partial differential equations with fractional time …
perturbation method (HPM) for nonlinear partial differential equations with fractional time …
[HTML][HTML] A generalized differential transform method for linear partial differential equations of fractional order
In this letter we develop a new generalization of the two-dimensional differential transform
method that will extend the application of the method to linear partial differential equations …
method that will extend the application of the method to linear partial differential equations …