Fractional Dynamics

Open Access Published by De Gruyter Open Poland 2015

Fractional Dynamics

Edited by: Carlo Cattani , Hari M. Srivastava and Xiao-Jun Yang

https://doi.org/10.1515/9783110472097

Overview
Contents

About this book

The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics. In particular, the book focuses on the more recent results in mathematical physics, engineering applications, theoretical and applied physics as quantum mechanics, signal analysis, and in those relevant research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. Dynamical processes and dynamical systems of fractional order attract researchers from many areas of sciences and technologies,
ranging from mathematics and physics to computer science.

fractional dynamics, fractional calculus, nonlinear analysis

Author / Editor information

Carlo Cattani, University of Salerno, Italy

Topics

Frontmatter Publicly Available Download PDF	I
Contents Publicly Available Download PDF	V
Fractional Dynamics Carlo Cattani, H. M. Srivastava and Xiao-Jun Yang Publicly Available Download PDF	1
Local Fractional Calculus on Shannon Wavelet Basis Carlo Cattani Publicly Available Download PDF	6
Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality Vasily E. Tarasov Publicly Available Download PDF	31
Temporal Patterns in Earthquake Data-series António M. Lopes and J.A. Tenreiro Machado Publicly Available Download PDF	50
An Integral Transform arising from Fractional Calculus Akira Asada Publicly Available Download PDF	61
Approximate Solutions to Time-fractional Models by Integral-balance Approach Jordan Hristov Publicly Available Download PDF	78
A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions Bashir Ahmad, Ahmed Alsaedi and Hana Al-Hutami Publicly Available Download PDF	110
Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface M. K. Lenzi, G. Gonçalves, D. P. Leitoles and E. K. Lenzi Publicly Available Download PDF	129
Fractional Order Models for Electrochemical Devices Jocelyn Sabatier Publicly Available Download PDF	141
Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach M. K. Lenzi, G. Gonçalves, F. R. G. B. Silva, R. S. Zola, H. V. Ribeiro, R. Rossato and E. K. Lenzi Publicly Available Download PDF	161
Application of Fractional Calculus to Epidemiology Abdon Atangana Publicly Available Download PDF	174
On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval A.H. Bhrawy, T.M. Taha, M.A. Abdelkawy and R.M. Hafez Publicly Available Download PDF	191
From Leibniz’s Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt Hong-Yan Liu and Ji-Huan He Publicly Available Download PDF	219
Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives Mohamad Rafi Segi Rahmat, Dumitru Baleanu and Xiao-Jun Yang Publicly Available Download PDF	231
Approximate Methods for Local Fractional Differential Equations H. M. Srivastava, J. A. Tenreiro Machado and Xiao-Jun Yang Publicly Available Download PDF	243
Numerical Solutions for ODEs with Local Fractional Derivative Xiao-Jun Yang, Dumitru Baleanu and J. A. Tenreiro Machado Publicly Available Download PDF	258
Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer Xiao-Jun Yang, Carlo Cattani and Gongnan Xie Publicly Available Download PDF	272
Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative Hossein Jafari, Hassan Kamil Jassim and Syed Tauseef Mohyud-Din Publicly Available Download PDF	286
Calculus on Fractals Alireza K. Golmankhaneh and D. Baleanu Publicly Available Download PDF	307
Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method Haci Mehmet Baskonus, Fethi Bin Muhammad Belgacem and Hasan Bulut Publicly Available Download PDF	333
Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design Toufik Mekkaoui, Zakia Hammouch, Fethi B.M. Belgacem and Ahmed El Abbassi Publicly Available Download PDF	343
Fractional Derivative of the Riemann Zeta Function E. Guariglia Publicly Available Download PDF	357
A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications Fethi Bin Muhammad Belgacem, Vartika Gulati, Pranay Goswami and Abdullah Aljoujiee Publicly Available Download PDF	369

(Deutsch)

Language: English
Publisher: De Gruyter Open Poland
Audience: Scientists working in the fields ranging from mathematics and physics to computer science.
Pages
- Main content: 392
Illustrations
- Illustrations: 49
- Coloured Illustrations: 56
- Tables: 15
Keywords: Fractional dynamics; nonlinear dynamics; fractional calculus; nonlinear analysis

eBook

Published: January 7, 2016
ISBN: 9783110472097

Hardcover

Published: January 15, 2016
ISBN: 9783110472080