Results 271 to 280 of about 24,603,526 (334)

A fractional model for propagation of classical optical solitons by using nonsingular derivative

Mathematical methods in the applied sciences, 2020
The Schrödinger equation depends on the physical circumstance, which describes the state function of a quantum‐mechanical system and gives a characterization of a system evolving with time.
P. Veeresha, D. G. Prakasha, Sunil Kumar
semanticscholar   +1 more source

A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator.

Chaos, 2019
In this paper, we present a new fractional-order mathematical model for a tumor-immune surveillance mechanism. We analyze the interactions between various tumor cell populations and immune system via a system of fractional differential equations (FDEs ...
D. Baleanu, A. Jajarmi, S. Sajjadi, D. Mozyrska   +3 more
semanticscholar   +1 more source

A fractional order friction model

ISA Transactions, 2023
A new dynamic model for friction is proposed based on the commonality between frictional order dynamics and friction behavior. The model can achieve accurate modeling both in the sliding and the pre-sliding region with fewer parameters. Simulation results of the FOFM are illustrated with the parameters identification using the particle swarm ...
Tianzhu Xun, Pengchong Chen, Shaohua Wang, Youguo Pi, Ying Luo   +4 more
openaire   +2 more sources

Two compartmental fractional derivative model with general fractional derivative

Journal of Pharmacokinetics and Pharmacodynamics, 2022
This study presents a new two compartmental model with, recently defined General fractional derivative. We review that concept of General fractional derivative and use the kernel function that generalizes the classical Caputo derivative in a mathematically consistent way.
Vesna Miskovic-Stankovic, Marko Janev, Teodor M. Atanackovic   +2 more
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Fractional sequential mechanics — models with symmetric fractional derivative

Czechoslovak Journal of Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A fractional model for the dynamics of TB virus

Chaos, Solitons & Fractals, 2018
In this paper, we present a nonlinear fractional order model in the Caputo sense to explore and simulate the TB dynamics. Using the TB confirmed notified cases from the year 2002 to 2017 in Khyber Pakhtunkhwa, Pakistan, we estimate the model parameters ...
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq   +2 more
semanticscholar   +1 more source

Fractional model of HIV transmission with awareness effect

, 2020
In this work, we study the HIV dynamics with fractional operator of Caputo type. We use the real data of HIV infection cases of Indonesia from 2006 to 2018 and parameterized the HIV model and estimate the basic reproduction number is R 0 ≈ 2.2763 . First,
Fatmawati, M. Khan, Hafidz Putra Odinsyah   +2 more
semanticscholar   +1 more source

Fractional Order Models

2015
In a letter to L’Hospital in 1695, Leibniz raised the possibility of generalizing the operation of differentiation to non-integer orders and L’Hospital asked what would be the result of half-differentiating a variable. Leibniz in an open letter dated September 30, 1695 replied “It leads to a paradox, from which 1 day useful consequences will be drawn”.
J. Sabatier, C. Farges, A. Oustaloup
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A new fractional model for tuberculosis with relapse via Atangana–Baleanu derivative

Chaos, Solitons & Fractals, 2018
In this work, a new fractional order epidemic model for the tuberculosis (TB) disease with relapse using Atangana–Baleanu derivative is formulated. The basic reproduction number of the model is investigated using next generation technique.
Muhammad Altaf Khan, Saif Ullah, Muhammad Farooq   +2 more
semanticscholar   +1 more source

New model of fractional spin

Physical Review Letters, 1989
A line-charge--neutron composite is proposed as a new model for fractional spin. Considering time-varying line-charge configurations, the kinetic angular momentum is a constant of motion while the canonical angular momentum is not. This result is contrary to the case with magnetic flux tubes.
, Liang, , Ding
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