Existence results for fractional order semilinear integro-differential evolution equations with infinite delay (Q989959)
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scientific article; zbMATH DE number 5774260
| Language | Label | Description | Also known as |
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| English | Existence results for fractional order semilinear integro-differential evolution equations with infinite delay |
scientific article; zbMATH DE number 5774260 |
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Existence results for fractional order semilinear integro-differential evolution equations with infinite delay (English)
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23 August 2010
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This paper concerns some existence results for the mild solutions of fractional order semilinear integro-differential evolution equations with infinite delay. The approach is based on Banach's contraction principle, a nonlinear alternative of the Leray-Schauder type and Krasnoselskii-Schaefer type fixed point theorems.
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fractional derivative
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fractional integral
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fixed point theorem
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mild solution
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Leray-Schauder alternative
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fractional order semilinear integro-differential evolution equations
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infinite delay
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Banach's contraction principle
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Krasnoselskii-Schaefer type fixed point theorems
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