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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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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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Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives [PDF]
Journal of Mathematical Analysis and Applications, 2006 The link between the treatments of constrained systems with fractional derivatives by using both Hamiltonian and Lagrangian formulations is studied. It is shown that both treatments for systems with linear velocities are equivalent.
Sami I. Muslih +2 more
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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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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 +4 more
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On the fractional derivatives at extrema points [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema points.
Mohammed Al-Refai
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On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral
AxiomsIn 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
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative [PDF]
International Journal of Differential Equations, 2012 Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative.
Mehmet Merdan
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