Fractional Method of Characteristics for Fractional Partial Differential Equations

TL;DR

This paper introduces a fractional method of characteristics to solve fractional partial differential equations, extending classical techniques to fractional calculus for applications in mathematical physics.

Contribution

It proposes a novel fractional method of characteristics specifically designed for fractional partial differential equations, expanding the toolkit for solving such equations.

Findings

Successfully applied to solve fractional PDEs

Demonstrates effectiveness of the fractional method

Extends classical characteristics to fractional calculus

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.