نتایج جستجو برای: caputo fabrizio fractional derivative

تعداد نتایج: 120831  

Journal: :Results in nonlinear analysis 2021

In this short note, we investigate the Allen-Cahn equation with appearance of Caputo-Fabizzio derivative. We obtain a local solution when initial value is small enough. This an that has many practical applications. The power term in nonlinear component source function and operator combine to make finding space more difficult than classical problem. discovered new technique, connecting Hilbert s...

2015
AZIZOLLAH BABAKHANI

In the present work we discuss the existence of solutions for a system of nonlinear fractional integro-differential equations with initial conditions. This system involving the Caputo fractional derivative and Riemann−Liouville fractional integral. Our results are based on a fixed point theorem of Schauder combined with the diagonalization method.

Journal: :Acta Mechanica et Automatica 2023

Abstract In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two scenarios examined each operator: when initial conditions u(x, y, 0) = sin(xy), v(x, they e {−kxy} , where k, α some positive constants. With aid computable ...

A. Ramezanpour, F. Soltanian J. Vahidi, P. Reihani

In this article, Ritz approximation have been employed to obtain the numerical solutions of a class of the fractional optimal control problems based on the Caputo fractional derivative. Using polynomial basis functions, we obtain a system of nonlinear algebraic equations. This nonlinear system of equation is solved and the coefficients of basis polynomial are derived. The convergence of the num...

2008
Richard Herrmann

Based on the Riemannand Caputo definition of the fractional derivative we use the fractional extensions of the standard rotation group SO(3) to construct a higher dimensional representation of a fractional rotation group with mixed derivative types. An extended symmetric rotor model is derived, which predicts the sequence of magic proton and neutron numbers accurately. The ground state properti...

Journal: :CoRR 2002
W. Chen

In mathematical modeling of the non-squared frequency-dependent diffusions, also known as the anomalous diffusions, it is desirable to have a positive real Fourier transform for the time derivative of arbitrary fractional or odd integer order. The Fourier transform of the fractional time derivative in the Riemann-Liouville and Caputo senses, however, involves a complex power function of the fra...

Journal: :African Journal of Infectious Diseases 2021

Background: HIV is a virus that directed at destroying the human immune system thereby exposing body to risk of been affected by other common illnesses and if it not treated, generates more chronic illness called AIDS. Materials Methods: In this paper, we employed fixed-point theory in developing uniqueness existence solution fractional order HIV/AIDS model having Caputo-Fabrizio operator. This...

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