Frontmatter -- Contents -- Fractional Dynamics -- Local Fractional Calculus on Shannon Wavelet Basis -- Discretely and Continuously Distributed Dynamical Systems with Fractional Nonlocality -- Temporal Patterns in Earthquake Data-series -- An Integral Transform arising from Fractional Calculus -- Approximate Solutions to Time-fractional Models by Integral-balance Approach -- A Study of Sequential Fractional q-integro-difference Equations with Perturbed Anti-periodic Boundary Conditions -- Fractional Diffusion Equation, Sorption and Reaction Processes on a Surface -- Fractional Order Models for Electrochemical Devices -- Results for an Electrolytic Cell Containing Two Groups of Ions: PNP - Model and Fractional Approach -- Application of Fractional Calculus to Epidemiology -- On Numerical Methods for Fractional Differential Equation on a Semi-infinite Interval -- From Leibniz's Notation for Derivative to the Fractal Derivative, Fractional Derivative and Application in Mongolian Yurt -- Cantor-type spherical-coordinate Method for Differential Equations within Local Fractional Derivatives -- Approximate Methods for Local Fractional Differential Equations -- Numerical Solutions for ODEs with Local Fractional Derivative -- Local Fractional Calculus Application to Differential Equations Arising in Fractal Heat Transfer -- Local Fractional Laplace Decomposition Method for Solving Linear Partial Differential Equations with Local Fractional Derivative -- Calculus on Fractals -- Solutions of Nonlinear Fractional Differential Equations Systems through an Implementation of the Variational Iteration Method -- Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design -- Fractional Derivative of the Riemann Zeta Function -- A Treatment of Generalized Fractional Differential Equations: Sumudu Transform Series Expansion Solutions, and Applications
Open Access https://purl.org/coar/access_right/c_abf2
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.
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