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Entropy 2014, 16(9), 4911-4922; https://doi.org/10.3390/e16094911

Existence of Entropy Solutions for Nonsymmetric Fractional Systems

1
Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia
2
Faculty of Computer Science and Information Technology, University of Malaya, 50603 Kuala Lumpur, Malaysia
*
Author to whom correspondence should be addressed.
Received: 10 July 2014 / Revised: 24 August 2014 / Accepted: 10 September 2014 / Published: 12 September 2014
(This article belongs to the Special Issue Complex Systems and Nonlinear Dynamics)
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Abstract

The present work focuses on entropy solutions for the fractional Cauchy problem of nonsymmetric systems. We impose sufficient conditions on the parameters to obtain bounded solutions of L . The solutions attained are unique and exclusive. Performance is established by utilizing the maximum principle for certain generalized time and space-fractional diffusion equations. The fractional differential operator is inspected based on the interpretation of the Riemann–Liouville differential operator. Fractional entropy inequalities are imposed. View Full-Text
Keywords: fractional calculus; fractional differential equation; entropy solution fractional calculus; fractional differential equation; entropy solution
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).
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Ibrahim, R.W.; Jalab, H.A. Existence of Entropy Solutions for Nonsymmetric Fractional Systems. Entropy 2014, 16, 4911-4922.

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