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Lyapunov-Type Inequalities for Riemann-Liouville Type Fractional Boundary Value Problems with Fractional Boundary Conditions
2019
Advances in the Theory of Nonlinear Analysis and its Applications
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In this article, we establish Lyapunov-type inequalities for two-point Riemann-Liouville type fractional boundary value problems associated with well-posed fractional boundary conditions. To illustrate the applicability of established results, we estimate lower bounds for eigenvalues of the corresponding eigenvalue problems and deduce criteria for the nonexistence of real zeros of certain Mittag-Leffler functions. Keywords: IRiemann-Liouville type fractional derivative boundary value problem
doi:10.31197/atnaa.471245
fatcat:46xbhnpbovfbbizdcohfxsfofe