Results 11 to 20 of about 20,134 (284)
Extended Riemann-Liouville fractional derivative operator and its applications [PDF]
, 2015 Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
P. Agarwal, Junesang Choi, R. Paris
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Space-Time Fractional Reaction-Diffusion Equations Associated with a Generalized Riemann-Liouville Fractional Derivative [PDF]
Axioms, 2014 This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation by replacing the time derivative of first order by the generalized Riemann-
R. Saxena, A. M. Mathai, H. Haubold
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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 +4 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 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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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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Numerical Methods for Partial Differential Equations, 2018 In the last decade, theoretical and applied studies were done in order to provide a suitable definition of fractional derivative, which meets all the requirement of a derivative in its primary sense. It was concluded by some eminent researchers that the Riemann‐Liouville version was the most suitable. However, many numerical approximation of fractional
A. Atangana, J. F. Gómez‐Aguilar
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Demonstratio MathematicaAbstract Monotonicity, oscillation, and asymptotic behavior of solutions of nonlinear fractional differential equations are investigated. Fractional differential equations are classified according to their oscillation properties, and a comparison between the classical differential operator and the Riemann-Liouville operator is made.
Miroslav Bartušek, Zuzana Došlá
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