Results 281 to 290 of about 2,052,042 (321)

New numerical simulations for some real world problems with Atangana–Baleanu fractional derivative

Chaos, Solitons & Fractals, 2019
In this work, we introduce ABC-Caputo operator with ML kernel and its main characteristics are discussed. Viral diseases models for AIDS and Zika are considered, and finally, as third model, the macroeconomic model involving ABC fractional derivatives is
Wei Gao, B. Ghanbari, H. Baskonus
semanticscholar   +1 more source

Investigation of a fractional derivative creep model of clay and its numerical implementation

, 2020
The fractional calculus has been successfully applied to characterize the rheological property of elastic viscoplastic materials. However, soils were seldom involved in fractional derivative constitutive models, and the topic of triaxial creep tests is ...
Xu-Bing Xu, Z. Cui
semanticscholar   +1 more source

Fractional Derivatives and Special Functions

SIAM Review, 1976
The fractional derivative operator is an extension of the familiar derivative operator $D^n $ to arbitrary (integer, rational, irrational, or complex) values of n.
Lavoie, J. L., Osler, T. J., Tremblay, R.   +2 more
openaire   +1 more source

Representations of acting processes and memory effects: General fractional derivative and its application to theory of heat conduction with finite wave speeds

Applied Mathematics and Computation, 2019
Fractional derivative is a widely accepted theory to describe physical phenomena and processes with memory effect that is defined in the form of convolution with power kernel. Due to the shortcomings of power law distribution, some derivatives with other
Dazhi Zhao, M. Luo
semanticscholar   +1 more source

On fractional derivation and fractional convexity

Journal of Interdisciplinary Mathematics
Some novel applications of the conformable fractional derivative are presented. Indeed, we generalize the inverse function theorem and the Euler’s theorem. We also propose a definition of fractional convexity for which we show certain properties and applications.
R. Azennar, S. Asbab, K. El Hajioui
openaire   +1 more source

Pricing derivatives with fractional volatility

International Journal of Financial Engineering, 2016
This paper studies the effect of fractional volatility on path-dependent options, which are highly sensitive to the volatility structure of a targeted underlying asset process. To this end, we propose an approximation formula for average and barrier options when volatility follows a fractional Brownian motion. Furthermore, using the analytical formula,
openaire   +1 more source

Fractional sequential mechanics — models with symmetric fractional derivative

Czechoslovak Journal of Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Fractional derivatives

2021
openaire   +1 more source

On the ψ -Hilfer fractional derivative

Communications in Nonlinear Science and Numerical Simulation, 2018
Jose Sousa, Edmundo Capelas de Oliveira
exaly  

Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

Journal of Computational Physics, 2012
Cem Çelik, Melda Duman
exaly