Analysis of some Katugampola fractional differential equations with fractional boundary conditions
In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary...
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| Auteurs principaux: | , |
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| Format: | article |
| Langue: | EN |
| Publié: |
AIMS Press
2021
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| Accès en ligne: | https://doaj.org/article/135385de037f4432b47c41ffef15cc43 |
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| Résumé: | In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results. |
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