[BOK][B] Theory and applications of fractional differential equations

AA Kilbas, HM Srivastava, JJ Trujillo - 2006 - books.google.com
This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …

[PDF][PDF] Fractional calculus: history, definitions and applications for the engineer

A Loverro - Rapport technique, Univeristy of Notre Dame …, 2004 - academia.edu
This report is aimed at the engineering and/or scientific professional who wishes to learn
about Fractional Calculus and its possible applications in his/her field (s) of study. The intent …

[BOK][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 …

Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative

T Sandev, R Metzler, Ž Tomovski - Journal of physics A …, 2011 - iopscience.iop.org
In this paper, the solution of a fractional diffusion equation with a Hilfer-generalized
Riemann–Liouville time fractional derivative is obtained in terms of Mittag–Leffler-type …

Variable-order fuzzy fractional PID controller

L Liu, F Pan, D Xue - ISA transactions, 2015 - Elsevier
In this paper, a new tuning method of variable-order fractional fuzzy PID controller (VOFFLC)
is proposed for a class of fractional-order and integer-order control plants. Fuzzy logic …

Logarithmic Jacobi collocation method for Caputo–Hadamard fractional differential equations

MA Zaky, AS Hendy, D Suragan - Applied Numerical Mathematics, 2022 - Elsevier
We introduce a class of orthogonal functions associated with integral and fractional
differential equations with a logarithmic kernel. These functions are generated by applying a …

[HTML][HTML] An approximate solution of a fractional order differential equation model of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells

VS Ertürk, ZM Odibat, S Momani - Computers & Mathematics with …, 2011 - Elsevier
In this paper, a fractional order differential system for modeling human T-cell lymphotropic
virus I (HTLV-I) infection of CD4+ T-cells is studied and its approximate solution is presented …

Generalized synchronization of different dimensional integer-order and fractional order chaotic systems

A Ouannas, AT Azar, T Ziar, AG Radwan - Fractional order control and …, 2017 - Springer
In this work different control schemes are proposed to study the problem of generalized
synchronization (GS) between integer-order and fractional-order chaotic systems with …

Fractional inverse generalized chaos synchronization between different dimensional systems

A Ouannas, AT Azar, T Ziar, S Vaidyanathan - Fractional Order Control and …, 2017 - Springer
In this chapter, new control schemes to achieve inverse generalizedsynchronization (IGS)
between fractional order chaotic (hyperchaotic) systems with different dimensions are …

On new fractional inverse matrix projective synchronization schemes

A Ouannas, AT Azar, T Ziar, S Vaidyanathan - Fractional Order Control and …, 2017 - Springer
In this study, the problem of inverse matrix projective synchronization (IMPS) between
different dimensional fractional order chaotic systems is investigated. Based on fractional …