Results 91 to 100 of about 1,104,545 (205)
Generalized fractional hybrid Hamilton Pontryagin equations [PDF]
arXiv, 2009 In this work we present a new approach on studying dynamical systems. Combining the two ways of expressing the uncertainty, using probabilistic theory and credibility theory, we have research the generalized fractional hybrid equations. We have introduced the concepts of generalized fractional Wiener process, generalized fractional Liu process and the ...
arxiv
Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]
arXiv, 2020 Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv
Well-posedness and numerical algorithm for the tempered fractional differential equations
Discrete & Continuous Dynamical Systems - B, 2019 Trapped dynamics widely appears in nature, e.g., the motion of particles in viscous cytoplasm. The famous continuous time random walk (CTRW) model with power law waiting time distribution (having diverging first moment) describes this phenomenon. Because
Can Li, W. Deng, Lijing Zhao
semanticscholar +1 more source
Regularization of differential equations by fractional noise
Stochastic Processes and their Applications, 2002 AbstractLet {BtH,t∈[0,T]} be a fractional Brownian motion with Hurst parameter H. We prove the existence and uniqueness of a strong solution for a stochastic differential equation of the form Xt=x+BtH+∫0tb(s,Xs)ds, where b(s,x) is a bounded Borel function with linear growth in x (case H⩽12) or a Hölder continuous function of order strictly larger than ...
Youssef Ouknine, David Nualart
openaire +2 more sources
Variational Approach for Fractional Partial Differential Equations [PDF]
arXiv, 2010 Fractional variational approach has gained much attention in recent years. There are famous fractional derivatives such as Caputo derivative, Riesz derivative and Riemann-Liouville derivative. Several versions of fractional variational principles are proposed.
arxiv
Advances in Differential Equations, 2018 In this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods.
D. Baleanu +4 more
semanticscholar +1 more source
The Laplace Transform Method for Linear Differential Equations of the Fractional Order [PDF]
In modified form included in Chapters 4 and 5 of the book:
Podlubny, I.: Fractional Differential Equations. Academic Press, San Diego,
1999, 368 pages, ISBN 0125588402., 1997 The Laplace transform method for solving of a wide class of initial value problems for fractional differential equations is introduced. The method is based on the Laplace transform of the Mittag-Leffler function in two parameters. To extend the proposed method for the case of so-called "sequential" fractional differential equations, the Laplace ...
arxiv
Unique solutions for a new coupled system of fractional differential equations
, 2018 In this article, we discuss a new coupled system of fractional differential equations with integral boundary conditions {Dαu(t)+f(t,v(t))=a ...
C. Zhai, Ruiting Jiang
semanticscholar +1 more source
Deterministic-stochastic analysis of fractional differential equations malnutrition model with random perturbations and crossover effects. [PDF]
Sci Rep, 2023 Chu YM +4 more
europepmc +1 more source
Stochastic Fractional HP Equations [PDF]
arXiv, 2009 In this paper we established the condition for a curve to satisfy stochas- tic fractional HP (Hamilton-Pontryagin) equations. These equations are described using It^o integral. We have also considered the case of stochastic fractional Hamiltonian equa- tions, for a hyperregular Lagrange function.
arxiv