Results 11 to 20 of about 9,528 (243)

Fractional Diffusion based on Riemann-Liouville Fractional Derivatives [PDF]

The Journal of Physical Chemistry B, 2000
11 pages ...
R. Hilfer
  +7 more sources

An alternative definition for the k-Riemann-Liouville fractional derivative [PDF]

Applied Mathematical Sciences, 2015
Fil: Dorrego, Gustavo. Consejo Nacional de Investigaciones Cientificas y Tecnicas.
G. A. Dorrego
semanticscholar   +4 more sources

Fractional Telegraph equation with the Riemann-Liouville derivative

, 2023
The Telegraph equation $(\partial_{t}^{ρ})^{2}u(x,t)+2α\partial_{t}^{ρ}u(x,t)-u_{xx}(x,t)=f(x,t)$, where ...
Rajapboy Saparbayev
openalex   +4 more sources

Generalized Riemann - Liouville fractional derivatives for multifractal sets

, 2000
The Riemann-Liouville fractional integrals and derivatives are generalized for cases when fractional exponent $d$ are functions of space and times coordinates (i.e. $d=d({\bf r}(t),t)$).
L. Ya. Kobelev
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On q-fractional derivatives of Riemann--Liouville and Caputo type

, 2009
Based on the fractional $q$-integral with the parametric lower limit of integration, we define fractional $q$-derivative of Riemann-Liouville and Caputo type. The properties are studied separately as well as relations between them. Also, we discuss properties of compositions of these operators.
Miomir S. Stanković, Predrag M. Rajković, Sladjana D. Marinković   +2 more
openalex   +4 more sources

The Riemann–Liouville fractional derivative for Ambartsumian equation

Results in Physics, 2020
La ecuación de Ambartsumian, basada en la derivada fraccionaria modificada de Riemann–Liouville, se analiza en este trabajo. La solución se expresa como una serie de potencias de potencias arbitrarias y se ha comprobado su convergencia. Además, mostramos que la presente solución se reduce a los resultados en la literatura cuando la derivada ...
E. R. El-Zahar, A. Alotaibi, Abdelhalim Ebaid, A. F. Aljohani, J.F. Gómez Aguilar   +4 more
semanticscholar   +4 more sources

Fractional variational iteration method via modified Riemann–Liouville derivative

Journal of King Saud University - Science, 2010
AbstractThe aim of this paper is to present an efficient and reliable treatment of the variational iteration method (VIM) for partial differential equations with fractional time derivative. The fractional derivative is described in the Jumarie sense. The obtained results are in good agreement with the existing ones in open literature and it is shown ...
Naeem Faraz, Yasir Khan, Hossein Jafari, Ahmet Yıldırım, Mohammad Madani   +4 more
openalex   +4 more sources

Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution

Fractal and Fractional, 2023
This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
doaj   +1 more source

On a Generic Fractional Derivative Associated with the Riemann-Liouville Fractional Integral

Axioms
In this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties.
Yuri Luchko
  +5 more sources

Fractional Noether's theorem with classical and Riemann-Liouville derivatives [PDF]

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
This is a preprint of a paper whose final and definite form will be published in: 51st IEEE Conference on Decision and Control, December 10-13, 2012, Maui, Hawaii, USA. Article Source/Identifier: PLZ-CDC12.1832.45c07804. Submitted 08-March-2012; accepted 17-July-2012.
Gastao S. F. Frederico, Delfim F. M. Torres   +1 more
openaire   +4 more sources