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Cauchy-type problem for an abstract differential equation with fractional derivatives - MaRDI portal

Cauchy-type problem for an abstract differential equation with fractional derivatives (Q2387823)

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Cauchy-type problem for an abstract differential equation with fractional derivatives
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    Cauchy-type problem for an abstract differential equation with fractional derivatives (English)
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    5 September 2005
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    The author proves the uniform well-posedness of a Cauchy-type problem with two fractional derivatives and a bounded operator A. For an unbounded operator A, the author presents a test for the uniform well-posedness of the problem under consideration consistent with the test for the uniform well-posedness of the Cauchy problem for an equation of second order.
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    fractional differential equations
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    Cauchy-type problem
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    uniform well-posedness
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    Banach space
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