The arbitrary-order fractional hyperbolic nonlinear scalar conservation law

The arbitrary-order fractional hyperbolic nonlinear scalar conservation law

Abstract In this paper, we use a new powerful technique of arbitrary-order fractional (AOF) characteristic method (CM) to solve the AOF hyperbolic nonlinear scalar conservation law (HNSCL) of time and space. We present the existence and uniqueness of this class of equations in time and one-dimension...

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Bibliographic Details
Main Authors: S. M. Reza Shirkhorshidi, D. Rostamy, W. A. M. Othman, M. A. Omar Awang
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Advances in Difference Equations
Subjects:
Variable-order calculus
Variable-order fractional characteristic method
Variable-order fractional scalar conservation law
Jumarie’s modification of Riemann–Liouville
Online Access:http://link.springer.com/article/10.1186/s13662-020-02697-8

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http://link.springer.com/article/10.1186/s13662-020-02697-8

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