Results 271 to 280 of about 2,052,042 (321)
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Heparin Fractions and Derivatives

Seminars in Thrombosis and Hemostasis, 1985
Thromboembolic disease continues to plague mankind because it is often detected too late for effective management, because modern therapeutic measures are often inefficiently managed, and because new therapeutic agents and available laboratory tests are ignored.
openaire   +2 more sources

A new definition of fractional derivative

International Journal of Non-Linear Mechanics, 2019
In this paper, a new fractional derivative of the Caputo type is proposed and some basic properties are studied. The form of the definition shows that the new derivative is the natural extension of the Caputo one, and that it yields the Caputo derivative
Zhibao Zheng, Wei Zhao, H. Dai
semanticscholar   +1 more source

Numerical computations of coupled fractional resonant Schrödinger equations arising in quantum mechanics under conformable fractional derivative sense

Physica Scripta, 2020
Mathematical modeling of fractional resonant Schrödinger equations is an extremely significant topic in the classical of quantum mechanics, chromodynamics, astronomy, and anomalous diffusion systems.
M. Al‐Smadi, Omar Abu Arqub, S. Momani
semanticscholar   +1 more source

A fractional order model for Ebola Virus with the new Caputo fractional derivative without singular kernel

, 2020
In this study, the model of the Ebola virus, which has been rapidly spreading in certain parts of Africa, was rearranged using the fractional derivative operator without a singular kernel proposed by Caputo and Fabrizio.
M. Dokuyucu, H. Dutta
semanticscholar   +1 more source

Fractional Derivative and Fractional Integral

2018
For every α > 0 and a local integrable function f(t), the right FI of order α is defined: $$\displaystyle{ }_aI_t^\alpha f(t) = \displaystyle\frac {1}{\Gamma (\alpha )}\displaystyle\int _a^t(t - u)^{\alpha - 1}f(u)du,\qquad-\infty \le a < t < \infty .$$
Constantin Milici   +2 more
openaire   +1 more source

On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law

Mathematical methods in the applied sciences, 2019
The present article deals with a fractional extension of the vibration equation for very large membranes with distinct special cases. The fractional derivative is considered in Atangana‐Baleanu sense. A numerical algorithm based on homotopic technique is
Devendra Kumar, Jagdev Singh, D. Baleanu
semanticscholar   +1 more source

On the fuzzy fractional differential equation with interval Atangana–Baleanu fractional derivative approach

, 2020
The fuzzy systems with interval approach use an infinite valued parameter in the range of [0,1] as a confidence degree of belief. This parameter makes more complicity but plays the main role in creating the fuzzy solution of the fuzzy systems. In solving
T. Allahviranloo, B. Ghanbari
semanticscholar   +1 more source

Optimal control problems with Atangana‐Baleanu fractional derivative

Optimal control applications & methods, 2020
In this paper, we study fractional‐order optimal control problems (FOCPs) involving the Atangana‐Baleanu fractional derivative. A computational method based on B‐spline polynomials and their operational matrix of Atangana‐Baleanu fractional integration ...
H. Tajadodi   +3 more
semanticscholar   +1 more source

Fuzzy fractional differential equations under Caputo-Katugampola fractional derivative approach

Fuzzy Sets Syst., 2019
In this work, an initial value problem of Caputo–Katugampola (CK) fractional differential equations in fuzzy setting is considered and an idea of successive approximations under generalized Lipschitz condition is used to prove the existence and ...
N. Hoa, H. Vu, T. Duc
semanticscholar   +1 more source

An application of the Atangana-Baleanu fractional derivative in mathematical biology: A three-species predator-prey model

, 2020
In recent decades, studying the behavior of biological species has become one of the most fascinating areas of applied mathematics. The high importance of conservation of rare species in nature has prompted researchers in various fields to pay particular
B. Ghanbari   +2 more
semanticscholar   +1 more source

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