Fractional Method of Characteristics for Fractional Partial Differential Equations

2010/07/10 by Guo–Cheng Wu, Wu, Guo-cheng
Mathematics · #35R11 65M25 #FOS: Physical sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1007.1715

openalex publication_date 2010/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The method of characteristics has played a very important role in mathematical physics. Preciously, it was used to solve the initial value problem for partial differential equations of first order. In this paper, we propose a fractional method of characteristics and use it to solve some fractional partial differential equations.

Citations

• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results

Related

• Variational Approach for Fractional Partial Differential Equations
• Evaluation of a Fractional-Calculus-based Numerical Approach to solve Ordinary Differential Equations
• Numerical solutions of ordinary fractional differential equations with singularities
• Analytical solution with tanh-method and fractional sub-equation method for non-linear partial differential equations and corresponding fractional differential equation composed with Jumarie fractional derivative
• A New Method For Solving Fractional And Classical Differential Equations Based On a New Generalized Fractional Power Series