Jarad, FahdAbdeljawad, Thabet2023-02-132025-09-182023-02-132025-09-182020Jarad, Fahd; Abdeljawad, Thabet (2020). "Variational principles in the frame of certain generalized fractional derivatives", Discrete and Continuous Dynamical Systems - Series S, Vol. 13, No. 3, pp. 695-708.1937-16321937-1179https://doi.org/10.3934/dcdss.2020038https://hdl.handle.net/20.500.12416/14288In this article, we study generalized fractional derivatives that contain kernels depending on a function on the space of absolute continuous functions. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives and apply this transform to solve some ordinary differential equations in the frame of the fractional derivatives under discussion.eninfo:eu-repo/semantics/openAccessGeneralized Fractional DerivativesGeneralized Caputo Fractional DerivativesIntegration By PartsEuler-Lagrange EquationsArticle10.3934/dcdss.20200382-s2.0-85078877030