Results 1 to 10 of about 374,024 (252)
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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Fractional Diffusion based on Riemann-Liouville Fractional Derivatives [PDF]
J.Phys.Chem B, vol. 104, page 3914, (2000), 2000 A fractional diffusion equation based on Riemann-Liouville fractional derivatives is solved exactly. The initial values are given as fractional integrals. The solution is obtained in terms of $H$-functions. It differs from the known solution of fractional diffusion equations based on fractional integrals. The solution of fractional diffusion based on a
R. Hilfer
arxiv +8 more sources
Fractional Order Barbalat’s Lemma and its Applications in the Stability of Fractional Order Nonlinear Systems [PDF]
Mathematical Modelling and Analysis, 2017 This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
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Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives [PDF]
PHYSICA SCRIPTA 72 (2-3): 119-121 (2005), 2005 The classical fields with fractional derivatives are investigated by using the fractional Lagrangian formulation.The fractional Euler-Lagrange equations were obtained and two examples were studied.
Dumitru Băleanu, Sami I. Muslih
arxiv +3 more sources
Nabla Fractional Derivative and Fractional Integral on Time Scales [PDF]
Axioms, 2021 In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann–Liouville sense. We also introduce the nabla fractional derivative in Grünwald–Letnikov sense.
Bikash Gogoi +4 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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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 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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