Existence results for impulsive fractional \(q\)-difference equation with antiperiodic boundary conditions (Q1755680)
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scientific article; zbMATH DE number 7000069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for impulsive fractional \(q\)-difference equation with antiperiodic boundary conditions |
scientific article; zbMATH DE number 7000069 |
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Existence results for impulsive fractional \(q\)-difference equation with antiperiodic boundary conditions (English)
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11 January 2019
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Summary: In this paper, we investigate the impulsive fractional \(q\)-difference equation with antiperiodic conditions. The existence and uniqueness results of solutions are established via the theorem of nonlinear alternative of Leray-Schauder type and the Banach contraction mapping principle. Two examples are given to illustrate our results.
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impulsive fractional \(q\)-difference equation
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Banach contraction mapping principle
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