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Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay - MaRDI portal

Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay (Q2653994)

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Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay
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    Existence of \(S\)-asymptotically \(\omega \)-periodic solutions for fractional order functional integro-differential equations with infinite delay (English)
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    15 January 2010
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    The abstract integro-differential equation of fractional order with infinite delay is studied. Sufficient conditions for the existence and uniqueness of \(S\)-asymptotically \(\omega\)-periodic mild solutions are obtained. An example is given to show the feasibility of the obtained result.
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    \(S\)-asymptotically \(\omega\)-periodic functions
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    mild solutions
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    fractional integro-differential equations
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    existence and uniqueness
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