Jarad, FahdAbdeljawad, Thabet2023-02-132023-02-132020Jarad, 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://hdl.handle.net/20.500.12416/6199In 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/closedAccessEuler-Lagrange EquationsGeneralized Caputo Fractional DerivativesGeneralized Fractional DerivativesIntegration By PartsReview10.3934/dcdss.2020038