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

Includes bibliographical references

Contents Fractional Dynamics Cattani, Carlo / Srivastava, H. M. / Yang, Xiao-Jun Local Fractional Calculus on Shannon Wavelet =520 \\ 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 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