Jarad, FahdJarad, FahdAbdeljawad, ThabetAdjabi, YassineAbdeljawad, ThabetMallak, Saed F.Alrabaiah, Hussam2022-06-152022-06-152021Jarad, 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. 2335-2355.1937-1632https://hdl.handle.net/20.500.12416/5621In this paper, we establish the Lyapunov-type inequality for bound- A ry value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An applica-tion about the zeros of generalized types of Mittag-Leffler functions is given. © 2021 American Institute of Mathematical Sciences. All rights reserved.eninfo:eu-repo/semantics/openAccessFractional Boundary Value ProblemsFractional Eigenvalue ProblemsGeneralized Fractional DerivativesGeneralized Fractional IntegralsGeneralized Mittag-Leffler Function TypeGenralized Caputo Fractional DerivativesGreen's FunctionLyapunov Type InequalityNontrivial SolutionsZerosArticle1472335235510.3934/DCDSS.2020212