Fractional DerivativeCaputo DerivativeLiouville DerivativeBirkhoff SystemFractional Generalize Hamiltonian SystemIn this paper, we present a new fractional dynamical theory, i.e., the dynamics of a Birkhoffian system with fractional derivatives (the fractional Birkhoffian mechanics), which gives a general ...
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 ...
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...
equations are endowed with different fractional derivatives in different cases, respectively; so we use Dirac function to define a uniform fractional operator and then compute the expectation of quantities of fractional system with this operator to build the uniform form of fractional Schrödinger ...
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...
their existence can still be accounted for through the application of conformable order derivatives. While complicated plans happen in the logic of important fractional geometry, CD accomplishes well in the product and chain law. Wherever the Riemann derivative of fractional order is not the topic, ...
Jan MuchaJ, MekyskaJ, GalazZ, et al. Identification and monitoring of parkinson’s disease dysgraphia based on fractional-order derivatives of online handwriting.Appl Sci. 2018;8:2566–2584. doi:10.3390/app8122566 Google Scholar PangCS, ChenM, HuJ, WenFQ, PangCMC. Diagnostic value of oscill...
Later on, Wang and Xu [11], and then Dong and Xu [12], combined both Laskin’s equation and Naber’s equation and came up with space-time fractional Schrödinger equation. The space-time fractional Schrödinger equation includes both spatial and temporal fractional derivatives. Wang and Xu...
A hybrid technique for the solution of unsteady Maxwell fluid with fractional derivatives due to tangential shear stress Article 01 November 2017 Explore related subjects Discover the latest articles and news from researchers in related subjects, suggested using machine learning. Differential Equations ...
By interpreting the time derivative operators as fractional derivatives we obtain the fractional Schrödinger equations as given by the equations presented in the next section. There are several definitions of the fractional derivative that have been intensively investigated in the mathematical and ...