Existence and continuous dependence for fractional partial hyperbolic differential equations (Q901665)

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scientific article; zbMATH DE number 6529028
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Existence and continuous dependence for fractional partial hyperbolic differential equations
scientific article; zbMATH DE number 6529028

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    Existence and continuous dependence for fractional partial hyperbolic differential equations (English)
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    12 January 2016
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    Summary: This paper is concerned with a class of fractional hyperbolic partial differential equations with the Caputo derivative. Existence and continuous dependence results of solutions are obtained under the hypothesis of the Lipschitz condition without any restriction on the Lipschitz constant. Examples are discussed to illustrate the results.
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    fractional hyperbolic partial differential equations
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    Caputo derivative
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    existence
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    continuous dependence
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