Jarad, FahdJarad, FahdAdjabi, YassineAbdeljawad, ThabetAbdeljawad, ThabetMallak, Saed F.Alrabaiah, HussamMatematik2022-06-152022-06-152021Jarad, Fahd...et al. (2021). "Lyapunov type inequality in the frame of Generalized caputo derivatives", Discrete and Continuous Dynamical Systems - Series S, Vol. 14, No. 7, pp. 2335-2355.1937-16321937-1179https://doi.org/10.3934/dcdss.2020212In this paper, we establish the Lyapunov-type inequality for boundary value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An application about the zeros of generalized types of Mittag-Leffler functions is given.eninfo:eu-repo/semantics/openAccessGeneralized Fractional IntegralsGeneralized Fractional DerivativesGenralized Caputo Fractional DerivativesGeneralized Mittag-Leffler Function TypeFractional Boundary Value ProblemsFractional Eigenvalue ProblemsNontrivial SolutionsZerosGreen'S FunctionLyapunov Type InequalityArticle1472335235510.3934/dcdss.20202122-s2.0-85104883592WOS:000661878900020Q2Q2