fractional Langevin equation
On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation
... new fractional integral, called generalized Riemann-Liouville fractional integral, which generalizes the Riemann-Liouville and the Hadamard integrals into a single form, was introduced in ...corresponding ...
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A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
... nonlinear Langevin equation involving two fractional orders in dif- ferent ...The fractional Langevin equation is collocated only at (N – ) points; for suitable collocation ...
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Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
... In this paper, we consider a nonlocal boundary value problem of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. We study the existence, uniqueness and generalized ...
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Fractional Langevin Equation in Quantum Systems with Memory Effect
... algebraic equation as a sum of partial fractions and performing inverse Laplace transform on these partial fractions are ...indicial equation Y 2 + 2 β 1 2 e i π 4 Y + ∆ = i 0 , where the variable s 1 2 has ...
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Langevin equation approach to diffusion magnetic resonance imaging
... the Langevin equation has a mean-square dis- placement which is the same as that ensuing from the CTRW and reproduces some of its features however failing to repro- duce many others such as weak ergodicity ...
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A nonlocal three point inclusion problem of Langevin equation with two different fractional orders
... different fractional orders. The solution to this new version of fractional Langevin equation gives a fractional Gaussian process parameterized by two indices, which pro- vides a more ...
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Boundary value problem of a nonlinear Langevin equation with two different fractional orders and impulses
... a Langevin equation with two different fractional ...a fractional Langevin equation gives a fractional Gaussian process parametrized by two indices, which provides a more ...
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A Langevin equation approach to diffusion magnetic resonance imaging
... the fractional Brownian motion, typified by ...the Langevin equation has a mean square displacement which is the same as that ensuing from the CTRW and reproduces some of its features, however ...
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Fractional Langevin model of gait variability
... the fractional Langevin equation, suggests that the scaling in the interstride interval data may not be due solely to long- term memory, as previous investigators have ...
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Existence of Solutions to Nonlinear Langevin Equation Involving Two Fractional Orders with Boundary Value Conditions
... Langevin equation is widely used to describe the evolution of physical phenomena in fluctuating ...ordinary Langevin equation does not provide the correct description of the ...of ...
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Systems of generalized Sturm Liouville and Langevin fractional differential equations
... The Langevin equation (first formulated by Langevin in ) is found to be an effective tool to describe the evolution of physical phenomena in fluctuating environments ...the fractional ...
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On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders
... of fractional calculus, the fractional analogue of Langevin equation was proposed by replacing the ordinary derivative by fractional order derivative in its classical ...Fokker–Planck ...
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Abstract Fractional sine transform and Laplace transform are used for solving the Stokes` first problem with
... first fractional equation for the flat ...this equation will be investigated. The Fourier sine transform and fractional Laplace transform are used for getting exact solution for this ...The ...
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Analytical and Numerical Treatments of Conservative Diffusions and the Burgers Equation
... generalized Langevin equation and its link to the physical theories of statistical mechanics and scale ...of Langevin equation depend critically on the assumption of continuity of the ...
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Berger_unc_0153D_19466.pdf
... We can see the thermalization point by looking at values of the observables as they evolve in Langevin time. They will begin at the point of initialization, and change rapidly under the influence of the ...
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On a Fractional Master Equation and a Fractional Diffusion Equation
... Abstract In this paper , we derive the solutions of fractional master equation defined by (2.1) and fractional diffusion equation defined by (3.3). The method followed in deriving the solution ...
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Large time behavior for the fractional Ginzburg-Landau equations near the BCS-BEC crossover regime of Fermi gases
... to fractional Ginzburg- Landau equations for atomic Fermi gases near the BCS-BEC ...the fractional dissipation operator α is nonlocal and can be regarded as the in- finitesimal generators of Lévy stable ...
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Systems of fractional Langevin equations of Riemann Liouville and Hadamard types
... nonlinear fractional differen- tial and integro-differential equations for a variety of boundary conditions using standard fixed point ...of fractional neutral functional differential ...
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Spin torque effects in thermally assisted magnetisation reversal: Method of statistical moments
... Fokker-Planck equation for the axially symmetric V and which arises for uniaxial anisotropy with the easy axis, the magnetization direction in the fixed layer, and the external field taken as ...
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On constrained Langevin equations and (bio)chemical reaction networks
... Stochastic effects play an important role in modeling the time evolution of chemical reaction sys- tems in fields such as systems biology, where the concentrations of some constituent molecules can be low. The most ...
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