The analytical interface coupling of arbitrary-order fractional nonlinear hyperbolic scalar conservation laws

The analytical interface coupling of arbitrary-order fractional nonlinear hyperbolic scalar conservation laws

Abstract In this paper, the existence and uniqueness of the interface coupling (IC) of time and spatial (TS) arbitrary-order fractional (AOF) nonlinear hyperbolic scalar conservation laws (NHSCL) are investigated. The technique of arbitrary fractional characteristic method (AFCM) is used to accompli...

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Bibliographic Details
Main Authors: S. M. R. Shirkhorshidi, W. A. M. Othman, M. A. Omar Awang, D. Rostamy, A. S. Shirkhorshidi
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Advances in Difference Equations
Subjects:
Arbitrary-order fractional calculus
Interface coupling arbitrary-order fractional nonlinear scalar conservation law
Arbitrary-order fractional characteristic method
Jumarie’s modification of Riemann–Liouville arbitrary-order fractional derivative
Online Access:http://link.springer.com/article/10.1186/s13662-020-03080-3

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http://link.springer.com/article/10.1186/s13662-020-03080-3

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