Results 111 to 120 of about 1,369,996 (356)

On a discrete composition of the fractional integral and Caputo derivative [PDF]

Communications in Nonlinear Science and Numerical Simulation, 2022
This is an accepted version of the manuscript published in Communications in Nonlinear Science and Numerical Simulations. The changes with the previous versions included some language corrections, additional numerical simulations, and new ...
openaire   +2 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

Fully distributed consensus of nonlinear fractional multi‐agent systems based on combined event‐triggered mechanism

Mathematical Methods in the Applied Sciences, EarlyView., 2022
This article focuses on the fully distributed leader‐following consensus problem of nonlinear fractional multi‐agent systems via event‐triggered control technique. The main intention of this article is to design a novel event‐triggered mechanism, which not only takes into account both the relative error and the absolute error of the samples but also ...
Qiaoping Li, Chao Yue
wiley   +1 more source

Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices

Advances in Mathematical Physics, 2013
We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
doaj   +1 more source

Control of Dissipative Heat on the MHD Casson Fluid With the Interaction of Velocity Slip and Convective Condition Over a Stagnation Point

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria, B. Nayak, S. R. Mishra   +2 more
wiley   +1 more source

Analytical solutions of q-fractional differential equations with proportional derivative

AIMS Mathematics, 2021
In this paper, we aim to propose a novel q-fractional derivative in the Caputo sense included proportional derivative. To this end, we firstly introduced a new concept of proportional q-derivative and discussed its properties in detail. Then, we add this
Aisha Abdullah Alderremy, Mahmoud Jafari Shah Belaghi , Khaled Mohammed Saad, Tofigh Allahviranloo, Ali Ahmadian, Shaban Aly , Soheil Salahshour   +6 more
doaj   +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

Output feedback robust stabilization of distributed‐order systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of robust fast stabilization for a class of dynamical systems characterized by slow and ultra‐slow dynamics. The system model is approximated using a distributed‐order derivative of the measured output, which captures the influence of the control input, system dynamics, and external disturbances.
Aldo Jonathan Muñoz‐Vázquez, José Eduardo Carvajal‐Rubio, Guillermo Fernández‐Anaya, Juan Diego Sánchez‐Torres   +3 more
wiley   +1 more source

Fractional Order Barbalat’s Lemma and its Applications in the Stability of Fractional Order Nonlinear Systems

Mathematical Modelling and Analysis, 2017
This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
doaj   +1 more source

Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations

, 2018
In this paper, we propose and analyze a spectral Chebyshev-Legendre approximation for fractional order integro-differential equations of Fredholm type. The fractional derivative is described in the Caputo sense.
Babolian, E., Javadi, S., Moradi, E., Yousefi, A.   +3 more
core   +1 more source