A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications
Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other
variables dependent order have been successfully applied to investigate time and/or space …
variables dependent order have been successfully applied to investigate time and/or space …
[BOOK][B] Mittag-Leffler functions, related topics and applications
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
[BOOK][B] Fractional-order nonlinear systems: modeling, analysis and simulation
I Petráš - 2011 - books.google.com
" Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …
of fractional-order chaotic systems accompanied by Matlab programs for simulating their …
Finite difference methods for fractional differential equations
In this review paper, the finite difference methods (FDMs) for the fractional differential
equations are displayed. The considered equations mainly include the fractional kinetic …
equations are displayed. The considered equations mainly include the fractional kinetic …
[BOOK][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 …
[BOOK][B] Fractional order systems: modeling and control applications
This book aims to propose the implementation and application of Fractional Order Systems
(FOS). It is well known that FOS can be utilized in control applications and systems …
(FOS). It is well known that FOS can be utilized in control applications and systems …
[BOOK][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 …
[HTML][HTML] Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
Existence results for a coupled system of nonlinear fractional differential equations with
three-point boundary conditions - ScienceDirect Skip to main contentSkip to article Elsevier logo …
three-point boundary conditions - ScienceDirect Skip to main contentSkip to article Elsevier logo …
Finite element method for the space and time fractional Fokker–Planck equation
W Deng - SIAM journal on numerical analysis, 2009 - SIAM
We develop the finite element method for the numerical resolution of the space and time
fractional Fokker–Planck equation, which is an effective tool for describing a process with …
fractional Fokker–Planck equation, which is an effective tool for describing a process with …
[BOOK][B] Fractional operators with constant and variable order with application to geo-hydrology
A Atangana - 2017 - books.google.com
Fractional Operators with Constant and Variable Order with Application to Geo-hydrology
provides a physical review of fractional operators, fractional variable order operators, and …
provides a physical review of fractional operators, fractional variable order operators, and …