Basel, Switzerland: MDPI, 2018. — 210 p. — ISBN 3038972061.Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type. It is a subject that has gained considerably popularity and importance in the past few decades in diverse fields of science and engineering. Efficient analytical and numerical methods have been developed but still need particular attention. The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical and conceptual developments in the field of fractional calculus and explore the scope for applications in applied sciences. Contents Fractional Calculus: Theory and Applications A Note on the Equivalence of Fractional Relaxation Equations to Differential Equations with Varying Coefficients Weyl and Marchaud Derivatives: A Forgotten History Letnikov vs. Marchaud: A Survey on Two ProminentConstructions of Fractional Derivatives Generalized Langevin Equation and the Prabhakar Derivative A Note on Hadamard Fractional Differential Equations with Varying Coefficients and Their Applications in Probability On Some New Properties of the Fundamental Solution to the Multi-Dimensional Space- and Time-Fractional Diffusion-Wave Equation An Iterative Method for Solving a Class of Fractional Functional Differential Equations with “Maxima” Numerical Solution of Fractional Differential Equations: A Survey and a Software Tutorial Numerical Solution of Multiterm Fractional Differential Equations Using the Matrix Mittag–Leffler Functions Best Approximation of the Fractional Semi-Derivative Operator by Exponential Series Storage and Dissipation of Energy in Prabhakar Viscoelasticity Fractional Derivatives, Memory Kernels and Solution of a Free Electron Laser Volterra Type Equation Application of Tempered-Stable Time Fractional-Derivative Model to Upscale Subdiffusion for Pollutant Transport in Field-Scale Discrete Fracture Networks Analysis of PFG Anomalous Diffusion via Real-Space and Phase-Space Approaches
Чтобы скачать этот файл зарегистрируйтесь и/или войдите на сайт используя форму сверху.