The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses (Q1798385)
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scientific article; zbMATH DE number 6962610
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses |
scientific article; zbMATH DE number 6962610 |
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The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses (English)
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23 October 2018
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Summary: Based on some recent works about the general solution of fractional differential equations with instantaneous impulses, a Caputo-Hadamard fractional differential equation with noninstantaneous impulses is studied in this paper. An equivalent integral equation with some undetermined constants is obtained for this fractional order system with noninstantaneous impulses, which means that there is general solution for the impulsive systems. Next, an example is given to illustrate the obtained result.
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Caputo-Hadamard fractional differential equation
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noninstantaneous impulses
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equivalent integral equation
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