A Short Note on Lyapunov Type Inequalities for Hilfer Fractional Boundary Value Problems
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866917618602999808 |
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| author | Jonnalagadda, Jagan Mohan |
| author_facet | Jonnalagadda, Jagan Mohan |
| contents | This paper deals with fractional boundary value problems involving the Hilfer fractional differential operator of order $1 < α\leq 2$ and type $0 \leq β\leq 1$. We derive the corresponding Lyapunov-type inequalities for two prominent classes of Hilfer fractional boundary value problems (HFBVPs) involving separated and anti-periodic boundary conditions. For this purpose, we construct the associated Green's functions and deduce their important properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_05684 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A Short Note on Lyapunov Type Inequalities for Hilfer Fractional Boundary Value Problems Jonnalagadda, Jagan Mohan General Mathematics 34A08, 34A40, 26D10, 33E12, 34C10 This paper deals with fractional boundary value problems involving the Hilfer fractional differential operator of order $1 < α\leq 2$ and type $0 \leq β\leq 1$. We derive the corresponding Lyapunov-type inequalities for two prominent classes of Hilfer fractional boundary value problems (HFBVPs) involving separated and anti-periodic boundary conditions. For this purpose, we construct the associated Green's functions and deduce their important properties. |
| title | A Short Note on Lyapunov Type Inequalities for Hilfer Fractional Boundary Value Problems |
| topic | General Mathematics 34A08, 34A40, 26D10, 33E12, 34C10 |
| url | https://arxiv.org/abs/1909.05684 |