[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 …

[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 …

[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 …

[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 …

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 …

Fractional variational iteration method and its application

G Wu, EWM Lee - Physics Letters A, 2010 - Elsevier
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 …

Quasi-uniform synchronization of Caputo type fractional neural networks with leakage and discrete delays★

H Zhang, J Cheng, H Zhang, W Zhang, J Cao - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper discusses the quasi-uniform synchronization issue for fractional-orderneural
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 …

Homotopy perturbation method for nonlinear partial differential equations of fractional order

S Momani, Z Odibat - Physics Letters A, 2007 - Elsevier
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 …

[HTML][HTML] A generalized differential transform method for linear partial differential equations of fractional order

Z Odibat, S Momani - Applied Mathematics Letters, 2008 - Elsevier
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 …