Fractional order impulsive partial hyperbolic functional differential equations with variable times and state-dependent delay (Q2850483)

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scientific article; zbMATH DE number 6212614
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Fractional order impulsive partial hyperbolic functional differential equations with variable times and state-dependent delay
scientific article; zbMATH DE number 6212614

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    26 September 2013
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    impulsive functional differential equations
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    state-dependent delay
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    left-sided mixed Riemann-Liouville integral
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    Caputo fractional-order derivative
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    Fractional order impulsive partial hyperbolic functional differential equations with variable times and state-dependent delay (English)
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    The authors deal with the problem of existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with variable time impulses and state-dependent delay involving the Caputo fractional derivative. They consider cases of finite and infinite delay. The presented existence results for the problems are based on Schaefer's fixed point approach.
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