S.Sh. Rekhviashvili, The Lagrange formalism with fractional deriva- tives in problems of mechanics. Technical Physics Letters 30 (2004), 33-37.Rekhviashvili, S.S.: The Lagrange formalism with fractional derivatives in problems of mechanics. Tech. Phys. Lett. 30(1), 55-57 (2004)...
In the representations the integration over velocities is not restricted by any boundary conditions; matrices, which have to be inverted in course of doing Gaussian integrals, do not contain any derivatives in time, and spinor and isospinor structures of the propagators are given explicitly. One...
Also, the obtained results reveal that the computed solutions agree well with the existing solutions and that the combinations of these two methods are appropriate for these types of nonlinear fractional models. Here, the fractional derivatives are considered in the Caputo sense. 展开 关键词:...
Katugampola [e-printarXiv:1410.6535] recently introduced a limit based fractional derivative,Dα(referred to in this work as the Katugampola fractional derivative) that maintains many of the familiar properties of standard derivatives such as the product, quotient, and chain rules. Typically, fractio...
Response spectral density determination for nonlinear systems endowed with fractional derivatives and subject to colored noise Fan Kong, Pol D. Spanos January 2020 Article 103023 select article On the usefulness of gradient information in surrogate modeling: Application to uncertainty propagation in composite...
(ST-RPSM) to generate the numerical solution of nonlinear Schrödinger models with the fractional derivatives. The proposed idea is the composition of Sumudu transform (ST) and the residual power series method (RPSM). The fractional derivatives are taken in Caputo sense. The proposed technique is...
Description of the Impulse Response in Rods by Fractional Derivatives ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikI. Scha¨fer and H.-J. Seifert, Description of ... I. Schfer Dipl.-Ing. and,HJ Seifert - ZAMM - Journal of Applied ...
Using the formalism of generalized fractional derivatives, a two-dimensional non-relativistic meson system is studied. The mesons are interacting by a Cornell potential. The system is formulated in the domain of the symplectic quantum mechanics by means of the generalized fractional Nikiforov-Uvarov me...
We elaborate fractional geometric models of physical interactions and we formulate a method of nonholonomic deformations to other types of fractional derivatives. The main result of this paper consists of a proof that, for corresponding classes of nonholonomic distributions, a large class of physical ...
Grahovac, N.M., Zigic, M.M.: Modelling of the hamstring muscle group by use of fractional derivatives. Comput. Math. Appl. 59, 1695–1700 (2010) Article MathSciNet MATH Google Scholar Hernandez-Jimenez, A., Hernandez-Santiago, J., Macias-Garcıa, A., Sanchez-Gonzalez, J.: Relax...