Lyapunov-type inequalities for fractional differential operators with non-singular kernels (Q2080012)
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scientific article; zbMATH DE number 7597681
| Language | Label | Description | Also known as |
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| English | Lyapunov-type inequalities for fractional differential operators with non-singular kernels |
scientific article; zbMATH DE number 7597681 |
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Lyapunov-type inequalities for fractional differential operators with non-singular kernels (English)
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7 October 2022
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In this paper, the authors first study the properties of Green's functions for conjugate and anti-periodic boundary value problems involving Caputo-Fabrizio and Atangana-Baleanu-Caputo fractional derivatives of order \(\rho\in (0, 1]\). The obtained properties are then applied to derive Lyapunov-type inequalities for related fractional boundary value problems. The lower bounds for the eigenvalues of fractional eigenvalue problems are also discussed in the paper. For the entire collection see [Zbl 1491.65006].
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fractional derivative
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boundary value problem
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Lyapunov-type inequality
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