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Fractional linear Volterra integro-differential equations in Banach spaces - MaRDI portal

Fractional linear Volterra integro-differential equations in Banach spaces (Q2683629)

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Fractional linear Volterra integro-differential equations in Banach spaces
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    Fractional linear Volterra integro-differential equations in Banach spaces (English)
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    14 February 2023
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    The paper considers fractional order linear Volterra integro-differential equations of convolution type in abstract Banach spaces. The main questions addressed are the existence and uniqueness of solutions and the construction of a resolvent operator.
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    Caputo fractional derivative
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    fractional resolvent
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    Volterra integro-differential equation
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    Mittag-Leffler function
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    Hille-Yosida theorem
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    fractional resolvent equation
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