Litcius/Paper detail

Fractional Differential Equations

Zhi‐zhong Sun, Guang‐hua Gao

202072 citationsDOI

Abstract

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations , time-fractional wave equations, and space-fractional differential equations, among others. Approximation methods for fractional derivatives are developed and approximate accuracies are analyzed in detail.

Topics & Concepts

Fractional calculusMathematicsDifferential equationMathematical analysisNumerical partial differential equationsSpace (punctuation)Applied mathematicsComputer scienceOperating systemFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNonlinear Differential Equations Analysis