The general solution of impulsive systems with Caputo-Hadamard fractional derivative of order \(q \in \mathbb{C}(\mathfrak{R}(q) \in(1,2))\) (Q1793625)
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scientific article; zbMATH DE number 6953615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The general solution of impulsive systems with Caputo-Hadamard fractional derivative of order \(q \in \mathbb{C}(\mathfrak{R}(q) \in(1,2))\) |
scientific article; zbMATH DE number 6953615 |
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The general solution of impulsive systems with Caputo-Hadamard fractional derivative of order \(q \in \mathbb{C}(\mathfrak{R}(q) \in(1,2))\) (English)
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12 October 2018
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Summary: Motivated by some preliminary works about general solution of impulsive system with fractional derivative, the generalized impulsive differential equations with Caputo-Hadamard fractional derivative of \(q \in \mathbb{C}\)\ \ (\(\mathfrak{R}(q) \in(1,2)\)) are further studied by analyzing the limit case (as impulses approach zero) in this paper. The formulas of general solution are found for the impulsive systems.
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