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On Lyapunov-type inequalities for boundary value problems of fractional Caputo-Fabrizio derivative

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In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of $\beta \in 1,2]$ and… Click to show full abstract

In this study, Lyapunov-type inequalities for fractional boundary value problems involving the fractional Caputo Fabrizio differential equation with mixed boundary conditions when the fractional order of $\beta \in 1,2]$ and Dirichlet-type boundary condition when the fractional order of $\sigma \in 2,3]$ have been derived. Some consequences of the results related to the fractional Sturm?Liouville eigenvalue problems have also been given. Additionally, we examine the nonexistence of the solution of the fractional boundary value problem.

Keywords: lyapunov type; value; fractional caputo; boundary value; value problems; type inequalities

Journal Title: Turkish Journal of Mathematics
Year Published: 2020

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