Fractional dynamics / Carlo Cattani, Hari M. Srivastava, Xiao-Jun Yang (eds.).

Format:

Book

Author/Creator:

Srivastava, Hari M.

Contributor:

Cattani, Carlo, 1954- editor.

Srivastava, H. M., editor.

Yang, Xiao-Jun, editor.

Language:

English

Subjects (All):

Fractional calculus.

Physical Description:

1 online resource (392 pages) : illustrations

Edition:

1st ed.

Place of Publication:

De Gruyter 2015

Berlin : De Gruyter Open, [2015]

Language Note:

English

Summary:

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.

Contents:

Frontmatter

Contents

Fractional Dynamics / Cattani, Carlo / Srivastava, H. M. / Yang, Xiao-Jun

Local Fractional Calculus on Shannon Wavelet Basis / Cattani, Carlo

Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality / Tarasov, Vasily E.

Temporal Patterns in Earthquake Data-series / Lopes, António M. / Tenreiro Machado, J.A.

An Integral Transform arising from Fractional Calculus / Asada, Akira

Approximate Solutions to Time-fractional Models by Integral-balance Approach / Hristov, Jordan

A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions / Ahmad, Bashir / Alsaedi, Ahmed / Al-Hutami, Hana

Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface / Lenzi, M. K. / Gonçalves, G. / Leitoles, D. P. / Lenzi, E. K.

Fractional Order Models for Electrochemical Devices / Sabatier, Jocelyn

Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach / Lenzi, M. K. / Gonçalves, G. / Silva, F. R. G. B. / Zola, R. S. / Ribeiro, H. V. / Rossato, R. / Lenzi, E. K.

Application of Fractional Calculus to Epidemiology / Atangana, Abdon

On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval / Bhrawy, A.H. / Taha, T.M. / Abdelkawy, M.A. / Hafez, R.M.

From Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt / Liu, Hong-Yan / He, Ji-Huan

Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives / Segi Rahmat, Mohamad Rafi / Baleanu, Dumitru / Yang, Xiao-Jun

Approximate Methods for Local Fractional Differential Equations / Srivastava, H. M. / Tenreiro Machado, J. A. / Yang, Xiao-Jun

Numerical Solutions for ODEs with Local Fractional Derivative / Yang, Xiao-Jun / Baleanu, Dumitru / Tenreiro Machado, J. A.

Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer / Yang, Xiao-Jun / Cattani, Carlo / Xie, Gongnan

Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative / Jafari, Hossein / Jassim, Hassan Kamil / Tauseef Mohyud-Din, Syed

Calculus on Fractals / Golmankhaneh, Alireza K. / Baleanu, D.

Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method / Mehmet Baskonus, Haci / Bin Muhammad Belgacem, Fethi / Bulut, Hasan

Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design / Mekkaoui, Toufik / Hammouch, Zakia / Belgacem, Fethi B.M. / El Abbassi, Ahmed

Fractional Derivative of the Riemann Zeta Function / Guariglia, E.

A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications / Bin Muhammad Belgacem, Fethi / Gulati, Vartika / Goswami, Pranay / Aljoujiee, Abdullah

Notes:

Bibliographic Level Mode of Issuance: Monograph

This eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy

Description based on print version record.

ISBN:

3-11-047071-3

3-11-047209-0

OCLC:

979754287