Abdeljawad, ThabetMallak, Saed F.Alrabaiah, HussamJarad, FahdAdjabi, Yassine02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-06-152025-09-182022-06-152025-09-182021Jarad, 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.2020212https://hdl.handle.net/123456789/10936In 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 InequalityArticle10.3934/dcdss.20202122-s2.0-85104883592