Analysis of some Katugampola fractional differential equations with fractional boundary conditions (Q2092139)
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scientific article; zbMATH DE number 7610978
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of some Katugampola fractional differential equations with fractional boundary conditions |
scientific article; zbMATH DE number 7610978 |
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Analysis of some Katugampola fractional differential equations with fractional boundary conditions (English)
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2 November 2022
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This paper considers a boundary value problem involving the Katugampola fractional derivatives. By transforming the problem into an equivalent integral equation and utilizing the properties of the associated Green's function, Lyapunov-type inequalities are obtained and then are applied to study the nonexistence of nontrival solutions of the problem.
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fractional calculus
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Lyapunov inequality
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Green's function
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fractional differential equations
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Katugampola derivative
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