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Fractional Diffusion based on Riemann-Liouville Fractional Derivatives [PDF]
The Journal of Physical Chemistry B, 2000 11 pages ...
R. Hilfer
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Numerical approach of riemann-liouville fractional derivative operator
International Journal of Electrical and Computer Engineering (IJECE), 2021 This article introduces some new straightforward and yet powerful formulas in the form of series solutions together with their residual errors for approximating the Riemann-Liouville fractional derivative operator. These formulas are derived by utilizing
Ramzi B. Albadarneh +4 more
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The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative [PDF]
Advances in Differential Equations, 2018 We aim to investigate the following nonlinear boundary value problems of fractional differential equations: (Pλ){−tD1α(|0Dtα(u(t))|p−20Dtαu(t))=f(t,u(t))+λg(t)|u(t)|q−2u(t)(t∈(0,1)),u(0)=u(1)=0, $$\begin{aligned} (\mathrm{P}_{\lambda}) \left ...
Kamel Saoudi +4 more
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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
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On the k-Riemann-Liouville Fractional Derivative
International 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
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AIMS Mathematics, 2019 The fractional input stability of the electrical circuit equations described by the fractional derivative operators has been investigated. The Riemann-Liouville and the Caputo fractional derivative operators have been used.
Ndolane Sene
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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
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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 +2 more
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Anti-periodic boundary value problems of fractional differential equations with the Riemann-Liouville fractional derivative [PDF]
, 2013 In this paper, the author puts forward a kind of anti-periodic boundary value problems of fractional equations with the Riemann-Liouville fractional derivative. More precisely, the author is concerned with the following fractional equation: D0+αu(t)=f(t,
Guoqing Chai
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