Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation (Q635086)
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scientific article; zbMATH DE number 5940326
| Language | Label | Description | Also known as |
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| English | Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation |
scientific article; zbMATH DE number 5940326 |
Statements
Local and global existence of mild solutions for impulsive fractional semilinear integro-differential equation (English)
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19 August 2011
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The paper is devoted to providing sufficient conditions for the existence of (local or global) solutions to a class of impulsive semilinear integro-differential equations of fractional order in Banach spaces. It appears that the fractional derivatives under consideration are of Caputo's type.
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mild solution
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compact semigroup
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fractional calculus
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Banach space
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Caputo derivative
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impulsive semilinear integro-differential equations of fractional order
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