Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations (Q2019879)
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scientific article; zbMATH DE number 7336621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations |
scientific article; zbMATH DE number 7336621 |
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Non-uniqueness of solution for initial value problem of impulsive Caputo-Katugampola fractional differential equations (English)
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22 April 2021
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Summary: In this paper, the non-uniqueness of solution is mainly considered to the initial value problem (IVP) for the system of impulsive fractional differential equations (IFrDE) with Caputo-Katugampola derivative. The IVP for IFrDE with Caputo-Katugampola derivative is equivalent to the integral equations with an arbitrary constant, which means that the solution is non-unique. Finally, a numerical example is provided to show the main result.
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fractional differential equation
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impulsive fractional differential equation
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impulse
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Caputo-Katugampola derivative
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