Existence of entropy solutions for nonsymmetric fractional systems (Q296310)
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scientific article; zbMATH DE number 6593586
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of entropy solutions for nonsymmetric fractional systems |
scientific article; zbMATH DE number 6593586 |
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Existence of entropy solutions for nonsymmetric fractional systems (English)
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15 June 2016
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Summary: 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 \(L^\infty\). 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.
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fractional calculus
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fractional differential equation
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entropy solution
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