Results 191 to 200 of about 21,294 (235)

Fractional Langevin equation and Riemann-Liouville fractional derivative

The European Physical Journal E, 2007
In this present work we consider a fractional Langevin equation with Riemann-Liouville fractional time derivative which modifies the classical Newtonian force, nonlocal dissipative force, and long-time correlation. We investigate the first two moments, variances and position and velocity correlation functions of this system.
Kwok Sau Fa
semanticscholar   +4 more sources

Fractional Ince equation with a Riemann-Liouville fractional derivative

Applied Mathematics and Computation, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Parra-Hinojosa, J. Gutiérrez-Vega
semanticscholar   +3 more sources

The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative

Mathematical Methods in the Applied Sciences, 2019
The Rayleigh‐Stokes problem has gained much attention with the further study of non‐Newtonain fluids. In this paper, we are interested in discussing the existence of solutions for nonlinear Rayleigh‐Stokes problem for a generalized second grade fluid ...
Yong Zhou, Jing Na Wang
semanticscholar   +3 more sources

Initialized fractional differential equations with Riemann-Liouville fractional-order derivative

The European Physical Journal Special Topics, 2011
The initial value problem of fractional differential equations and its solving method are studied in this paper. Firstly, for easy understanding, a different version of the initialized operator theory is presented for Riemann-Liouville’s fractional-order derivative, addressing the initial history in a straightforward form.
M. Du, Z. Wang
semanticscholar   +2 more sources

Operational Calculus for the Riemann–Liouville Fractional Derivative with Respect to a Function and its Applications

Fractional Calculus and Applied Analysis, 2021
Mikusiński’s operational calculus is a formalism for understanding integral and derivative operators and solving differential equations, which has been applied to several types of fractional-calculus operators by Y.
Hafiz Muhammad Fahad, A. Fernandez
semanticscholar   +1 more source

A posteriori error estimation in maximum norm for a two-point boundary value problem with a Riemann-Liouville fractional derivative

Applied Mathematics Letters, 2020
A Riemann–Liouville two-point boundary value problem is considered. An integral discretization scheme is developed to approximate the Volterra integral equation transformed from the Riemann–Liouville boundary value problem.
Zhongdi Cen, Li-bin Liu, Jian Huang
semanticscholar   +1 more source

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