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Fractional order partial hyperbolic functional differential equations with state-dependent delay - MaRDI portal

Fractional order partial hyperbolic functional differential equations with state-dependent delay (Q411309)

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scientific article; zbMATH DE number 6021910
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Fractional order partial hyperbolic functional differential equations with state-dependent delay
scientific article; zbMATH DE number 6021910

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    Fractional order partial hyperbolic functional differential equations with state-dependent delay (English)
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    4 April 2012
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    Summary: This paper deals with the existence and uniqueness of solutions of some classes of partial functional and neutral functional hyperbolic differential equations with state-dependent delay involving the Caputo fractional derivative. Our results are obtained by using suitable fixed point theorems.
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    partial differential equations
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    solution
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    left-sided mixed Riemann-Liouville integral
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    Caputo fractional order derivative
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    state dependent delay
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    fixed point
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