Results 71 to 80 of about 26,870 (247)

Pharmacokinetic/Pharmacodynamic anesthesia model incorporating psi-Caputo fractional derivatives

Computers in Biology and Medicine, 2023
We present a novel Pharmacokinetic/Pharmacodynamic (PK/PD) model for the induction phase of anesthesia, incorporating the $\psi$-Caputo fractional derivative. By employing the Picard iterative process, we derive a solution for a nonhomogeneous $\psi$-Caputo fractional system to characterize the dynamical behavior of the drugs distribution within a ...
Mohamed Abdelaziz Zaitri, Hanaa Zitane, Delfim F. M. Torres   +2 more
openaire   +4 more sources

The Diagnosis That Arrived Decades Late: Living Without and Then With Myhre Syndrome

American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.
ABSTRACT Myhre syndrome (MIM #139210) is a rare multisystem disorder first described in 1981, characterized by short stature, neurodevelopmental delay, joint contractures, and cardiopulmonary complications. Its molecular basis, recurrent pathogenic variants in SMAD4, was not discovered until 2011. This narrative is based on a review of medical records,
Abdallah F. Elias
wiley   +1 more source

Infrared spectroscopy of diatomic molecules - a fractional calculus approach

, 2012
The eigenvalue spectrum of the fractional quantum harmonic oscillator is calculated numerically solving the fractional Schr\"odinger equation based on the Riemann and Caputo definition of a fractional derivative.
Dirac P. A. M., Eid R., Erdelyi A., Greiner W., Herrmann R., Herrmann R., Herzberg G., Huygens C., Khunrath H., Krause K., Lissajous J. A., Lusztig R., Messiah A., Oldham K. B., Parisi G., Podlubny I., RICHARD HERRMANN, Rubin B., Seybold H. J., Villeneuve D. M., Whitten K. W.   +20 more
core   +1 more source

Psi-Caputo Logistic Population Growth Model

Journal of Mathematics, 2021
This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories.
Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abu Asbeh   +2 more
doaj   +1 more source

ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR

, 2022
The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus. The Caputo's definition of fractional derivative of order 𝛼 has not been obviously applied in the field. However, it plays a vital role in other areas like physics and engineering due to its simple
openaire   +1 more source

Descriptive Epidemiology From the Myhre Syndrome Foundation Registry: The Value of Self‐Reported Data

American Journal of Medical Genetics Part C: Seminars in Medical Genetics, EarlyView.
ABSTRACT Myhre syndrome is an ultrarare genetic disease characterized by short stature, distinct craniofacial features, cardiovascular and respiratory fibrosis and stenosis, neurodevelopmental delays, autism, intellectual disability, and hearing loss. The natural history of Myhre syndrome is still not fully understood due to a small patient population ...
Mary K. Young, Armelle Pindon, Maggie R. Brand, Kate Wears, Katherine H. Young, Alyssa Mendel, Michael J. Lyons   +6 more
wiley   +1 more source

Numerical Methods for Solving Fractional Differential Equations [PDF]

, 2018
Department of Mathematical SciencesIn this thesis, several efficient numerical methods are proposed to solve initial value problems and boundary value problems of fractional di???erential equations.
Kim, Keon Ho
core  

Monotonicity of functions and sign changes of their Caputo derivatives

, 2015
It is well known that a continuously differentiable function is monotone in an interval $[a,b]$ if and only if its first derivative does not change its sign there.
Diethelm, Kai
core   +1 more source

Application of Newton’s polynomial interpolation scheme for variable order fractional derivative with power-law kernel

Scientific Reports
This paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives, such as the Caputo derivative, the Caputo–Fabrizio derivative, the Atangana–Baleanu fractal and fractional ...
S Naveen, V Parthiban
doaj   +1 more source

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, Kottakkaran Sooppy Nisar, Muhammad Arshad   +2 more
openaire   +2 more sources