A generalized Lyapunov's inequality for a fractional boundary value problem
We prove existence of positive solutions to a nonlinear fractional boundary value problem. Then, under some mild assumptions on the nonlinear term, we obtain a smart generalization of Lyapunov's inequality. The new results are illustrated through examples. © 2016 Elsevier B.V.
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| Formato: | article |
| Idioma: | eng |
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1000
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| Texto completo: | http://hdl.handle.net/10773/16659 |
| País: | Portugal |
| Oai: | oai:ria.ua.pt:10773/16659 |
| Resumo: | We prove existence of positive solutions to a nonlinear fractional boundary value problem. Then, under some mild assumptions on the nonlinear term, we obtain a smart generalization of Lyapunov's inequality. The new results are illustrated through examples. © 2016 Elsevier B.V. |
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