Results 191 to 200 of about 20,315 (242)

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

On the k-Riemann-Liouville Fractional Derivative [PDF]

open access: yesInternational Journal of Contemporary Mathematical Sciences, 2013
The aim of this paper is to introduce an alternative denition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5].
L. G. Romero   +3 more
semanticscholar   +5 more sources

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

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

Degenerate Linear Evolution Equations with the Riemann–Liouville Fractional Derivative

open access: yesSiberian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Fedorov   +2 more
semanticscholar   +3 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

Fractional diffusion equation with a generalized Riemann–Liouville time fractional derivative

Journal of Physics A: Mathematical and Theoretical, 2011
In this paper, the solution of a fractional diffusion equation with a Hilfer-generalized Riemann–Liouville time fractional derivative is obtained in terms of Mittag–Leffler-type functions and Fox's H-function. The considered equation represents a quite general extension of the classical diffusion (heat conduction) equation. The methods of separation of
Trifce Sandev   +2 more
openaire   +1 more source

Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives

SIAM Journal on Control and Optimization, 2015
Summary: We deal with the control systems governed by fractional evolution differential equations involving Riemann-Liouville fractional derivatives in Banach spaces. Our main purpose in this article is to establish suitable assumptions to guarantee the existence and uniqueness results of mild solutions.
Liu, Zhenhai, Li, Xiuwen
openaire   +1 more source

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