Results 41 to 50 of about 20,476 (286)

Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices

Advances in Mathematical Physics, 2013
We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
doaj   +1 more source

Generalized Tu Formula and Hamilton Structures of Fractional Soliton Equation Hierarchy

, 2010
With the modified Riemann-Liouville fractional derivative, a fractional Tu formula is presented to investigate generalized Hamilton structure of fractional soliton equations.
Adda, Adda, Adda, Agrawal, Agrawal, Almeida, Baleanu, Baleanu, Carpinter, Carpinteri, Carpinteri, Carpinteri, Chen, Chen, Chen, Chen, Cottrill-Shepherd, Cottrill-Shepherd, Cresson, Cresson, El Naschie, El Naschie, El-Nabulsi, El-Nabulsi, El-Nabulsi, Frederico, Fujioka, Fujioka, Guo, Guo-cheng Wu, Jumarie, Jumarie, Jumarie, Jumarie, Kazbekov, Kilbas, Kiryakova, Kolwankar, Kolwankar, Kolwankar, Lakshmikantham, Liang, Ma, Ma, Ma, Malinowska, Miller, Nicholas, Nottale, Nottale, Parvate, Podlubny, Purkait, Riewe, Riewe, Sheng Zhang, Tarasov, Tarasov, Tu, West, Wu, Wu, Wu, Wu, Xia   +64 more
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A note on fractional Sumudu transform [PDF]

, 2010
We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional ...
Gupta, Vineeta G., Kilicman, Adem, Shrama, Bhavna   +2 more
core   +2 more sources

Extension of the fractional derivative operator of the Riemann-Liouville

The Journal of Nonlinear Sciences and Applications, 2017
Summary: By using the generalized beta function, we extend the fractional derivative operator of the Riemann-Liouville and discusses its properties. Moreover, we establish some relations to extended special functions of two and three variables via generating functions.
Baleanu, Dumitru, Agarwal, Praveen, Parmar, Rakesh K., Alqurashi, Maysaa M., Salahshour, Soheil   +4 more
openaire   +3 more sources

Analysis and Modeling of Fractional-Order Buck Converter Based on Riemann-Liouville Derivative

IEEE Access, 2019
In previous studies, researchers used the fractional definition of Caputo to study fractional-order power converter. However, it is found that the model based on Caputo fractional definition is inconsistent with the actual situation.
Zhihao Wei, Bo Zhang, Yanwei Jiang
doaj   +1 more source

Weyl Quantization of Fractional Derivatives

, 2009
The quantum analogs of the derivatives with respect to coordinates q_k and momenta p_k are commutators with operators P_k and $Q_k. We consider quantum analogs of fractional Riemann-Liouville and Liouville derivatives.
Kilbas A. A., Miller K., Oldham K. B., Podlubny I., Samko S. G., Tarasov V. E., Vasily E. Tarasov, Yosida K., Zaslavsky G. M.   +8 more
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Gauge invariance in fractional field theories [PDF]

, 2008
The principle of local gauge invariance is applied to fractional wave equations and the interaction term is determined up to order $o(\bar{g})$ in the coupling constant $\bar{g}$.
Abers, Baleanu, Baleanu, Caputo, Chiu, Edmonds, Feller, Goldfain, Grünwald, Herrmann, Herrmann, Lim, Liouville, Miller, Oldham, Pauli, Podlubny, Raspini, Raspini, Richard Herrmann, Riemann, Riesz, Sakurai, Weyl, Wilson, Yang, Yao, Zavada, Zeeman   +28 more
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A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

, 2009
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
R. Agarwal, M. Belmekki, M. Benchohra
semanticscholar   +1 more source

Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada–Kotera–Ito equation

Results in Physics, 2016
In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed.
Emrullah Yaşar, Yakup Yıldırım, Chaudry Masood Khalique   +2 more
doaj   +1 more source

Fractional Newton-Raphson Method Accelerated with Aitken's Method

, 2019
The Newton-Raphson (N-R) method is characterized by the fact that generating a divergent sequence can lead to the creation of a fractal, on the other hand the order of the fractional derivatives seems to be closely related to the fractal dimension, based
Brambila-Paz, F., Caballero-Cruz, R., Iturrarán-Viveros, U., Torres-Hernandez, A.   +3 more
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