Results 61 to 70 of about 12,535 (181)
A New Mixed Fractional Derivative with Applications in Computational Biology
ComputationThis study develops a new definition of a fractional derivative that mixes the definitions of fractional derivatives with singular and non-singular kernels.
Khalid Hattaf
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Freelance Model with Atangana–Baleanu Caputo Fractional Derivative
Symmetry, 2022 As technology advances and the Internet makes our world a global village, it is important to understand the prospective career of freelancing. A novel symmetric fractional mathematical model is introduced in this study to describe the competitive market of freelancing and the significance of information in its acceptance.
Fareeha Sami Khan +4 more
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Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative [PDF]
, 2007 2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones.
Luchko, Yury, Trujillo, Juan
core
Fractional Noether's theorem in the Riesz-Caputo sense
, 2010 We prove a Noether's theorem for fractional variational problems with Riesz-Caputo derivatives. Both Lagrangian and Hamiltonian formulations are obtained.
Agrawal +50 more
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Analysis of Drude model using fractional derivatives without singular kernels
Open Physics, 2017 We report study exploring the fractional Drude model in the time domain, using fractional derivatives without singular kernels, Caputo-Fabrizio (CF), and fractional derivatives with a stretched Mittag-Leffler function.
Jiménez Leonardo Martínez +3 more
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Applied Sciences, 2020 Three different fractional models of Oldroyd-B fluid are considered in this work. Blood is taken as a special example of Oldroyd-B fluid (base fluid) with the suspension of gold nanoparticles, making the solution a biomagnetic non-Newtonian nanofluid ...
Muhammad Saqib +5 more
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Towards a combined fractional mechanics and quantization
, 2012 A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for systems containing combined Caputo fractional derivatives ...
Malinowska, Agnieszka B. +1 more
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On Extended Caputo Fractional Derivative Operator
, 2017 The main objective of this present paper is to introduce further extension of extended Caputo fractional derivative operator and establish the extension of an extended fractional derivative of some known elementary functions. Also, we investigate the extended fractional derivative of some familiar special functions, the Mellin transforms of newly ...
Gauhar Rahman +2 more
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Fractional diffusions with time-varying coefficients
, 2015 This paper is concerned with the fractionalized diffusion equations governing the law of the fractional Brownian motion $B_H(t)$. We obtain solutions of these equations which are probability laws extending that of $B_H(t)$.
Dimovski I. +13 more
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