Results 81 to 90 of about 42,784 (333)

Computable solutions of fractional partial differential equations related to reaction-diffusion systems [PDF]

, 2011
The object of this paper is to present a computable solution of a fractional partial differential equation associated with a Riemann-Liouville derivative of fractional order as the time-derivative and Riesz-Feller fractional derivative as the space ...
Haubold, H. J., Mathai, A. M., Saxena, R. K.   +2 more
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Fractional reaction-diffusion equations

, 2007
In a series of papers, Saxena, Mathai, and Haubold (2002, 2004a, 2004b) derived solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which provide the extension of the work of Haubold and Mathai (1995 ...
A. Compte, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. M. Mathai, A. Wiman, A.A. Kilbas, A.M. Mathai, A.M. Mathai, A.P. Prudnikov, B.I. Henry, B.I. Henry, B.I. Henry, C. Tsallis, C. Tsallis, D. Del-Castillo-Negrete, D. Del-Castillo-Negrete, E.M. Wright, E.M. Wright, E.M. Wright, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, H.J. Haubold, H.J. Haubold, J.D. Murray, K.B. Oldham, K.S. Miller, L. Debnath, M. Caputo, M.G. Mittag-Leffler, M.G. Mittag-Leffler, M.M. Dzherbashyan, M.M. Dzherbashyan, R. K. Saxena, R. Metzler, R. Metzler, R.K. Saxena, R.K. Saxena, R.K. Saxena, R.M. Kulsrud, S. Jespersen, S.G. Samko, W. Hundsdorfer, Y. Kuramoto   +47 more
core   +1 more source

Steep‐Switching Memory FET for Noise‐Resistant Reservoir Computing System

Advanced Functional Materials, EarlyView.
We demonstrate the steep‐switching memory FET with CuInP2S6/h‐BN/α‐In2Se3 heterostructure for application in noise‐resistant reservoir computing systems. The proposed device achieves steep switching characteristics (SSPGM = 19 mV/dec and SSERS = 23 mV/dec) through stabilization between CuInP2S6 and h‐BN.
Seongkweon Kang, Jaerok Kim, Sang‐Min Lee, Sungpyo Baek, Saeroonter Oh, Yoonmyung Lee, Sungjoo Lee   +6 more
wiley   +1 more source

Generalized fractional derivatives and fourier transforms in tempered distributions with applications

Networks and Heterogeneous Media
The purpose of this paper is to define and prove that the Riemann–Liouville and Caputo fractional derivatives can be computed for tempered distributions, such that the fractional derivative of a tempered distribution remains a tempered distribution.
Amin Benaissa Cherif, Fatima Zohra Ladrani, Dalal Alhwikem, Ahmed Hammoudi, Khaled Zennir, Keltoum Bouhali   +5 more
doaj   +1 more source

Discrete Fourier Transforms of Fractional Processes [PDF]

Discrete Fourier transforms (dft's) of fractional processes are studied and an exact representation of the dft is given in terms of the component data. The new representation gives the frequency domain form of the model for a fractional process, and is ...
Peter C.B. Phillips
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A new fractional derivative involving the normalized sinc function without singular kernel

, 2017
In this paper, a new fractional derivative involving the normalized sinc function without singular kernel is proposed. The Laplace transform is used to find the analytical solution of the anomalous heat-diffusion problems. The comparative results between
Baleanu, Dumitru, Gao, Feng, Machado, J. A. Tenreiro, Yang, Xiao-Jun   +3 more
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Direct Evidence of Topological Dirac Fermions in a Low Carrier Density Correlated 5d Oxide

Advanced Functional Materials, EarlyView.
The 5d oxide BiRe2O6 is discovered as a low‐carrier‐density topological semimetal hosting symmetry‐protected Dirac fermions stabilized by nonsymmorphic symmetries. Angle‐resolved photoemission spectroscopy, quantum oscillations, and magnetotransport measurements reveal gapless Dirac cones, quasi‐2D Fermi surfaces, high carrier mobility, and a field ...
Premakumar Yanda, Jorge Cardenas‐Gamboa, Ding Pei, François Bertran, Leila Noohinejad, Snehashish Chatterjee, Changjiang Yi, Iñigo Robredo, Horst Borrmann, Maia G. Vergniory, Chandra Shekhar, Claudia Felser   +11 more
wiley   +1 more source

The g-generalized Mittag-Leffler (p,s,k)-function

Alexandria Engineering Journal
The Mittag-Leffler (ML) function exists in the study of special functions. It may be used to solve a variety of fractional differential equations (FDEs) including fractional Laplace and fractional Poisson equations.
Umbreen Ayub, Madiha Shafiq, Amir Abbas, Umair Khan, Anuar Ishak, Y.S. Hamed, Homan Emadifar   +6 more
doaj   +1 more source

Backbone Heterojunction Photocatalysts for Efficient Sacrificial Hydrogen Production

Advanced Functional Materials, EarlyView.
Herein, a ‘single‐component’ organic semiconductor photocatalyst is presented in which a molecular donor is bonded to a polymer acceptor. The resultant material demonstrates exceptional photocatalytic activity for hydrogen evolution in aqueous triethylamine with an outstanding external quantum efficiency of 38% at 420 nm.
Richard J. Lyons, Rhys J. Bourhill, Ewan McQueen, Sam D. Harding, Krzysztof Pawlak, Thomas Fellowes, Harry W. Capps, Alexander J. Cowan, Andrew I. Cooper, Adrian M. Gardner, Martijn A. Zwijnenburg, Reiner Sebastian Sprick   +11 more
wiley   +1 more source

Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]

, 2010
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Boyadjiev, Lyubomir, Nikolova, Yanka
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