Results 41 to 50 of about 354,882 (289)

Fractional Calculus and Special Functions with Applications [PDF]

, 2022
The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications because of their properties of interpolation between integer-order operators.

core   +1 more source

An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method

Partial Differential Equations in Applied Mathematics
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit, W. Sawangtong, P. Sawangtong   +2 more
doaj   +1 more source

Fractional Calculus in Mexico: The 5th Mexican Workshop on Fractional Calculus (MWFC)

Computer Sciences & Mathematics Forum, 2023
The Mexican Workshop on Fractional Calculus (MWFC) is a bi-annual international workshop and the largest Latin American technical event in the field of fractional calculus in Mexico [...]
Jorge M. Cruz-Duarte, Porfirio Toledo-Hernández   +1 more
doaj   +1 more source

An analytical solution to the time fractional Navier–Stokes equation based on the Katugampola derivative in Caputo sense by the generalized Shehu residual power series approach

Partial Differential Equations in Applied Mathematics
The Navier–Stokes equations describe the behavior of viscous fluids and establish a fundamental connection between the application of external forces on fluid motion and the resulting pressure within the fluid. The objective of this study is to solve the
W. Sawangtong, P. Dunnimit, B. Wiwatanapataphee, P. Sawangtong   +3 more
doaj   +1 more source

Implementation of fractional order integrator/differentiator on field programmable gate array

Alexandria Engineering Journal, 2016
Concept of fractional order calculus is as old as the regular calculus. With the advent of high speed and cost effective computing power, now it is possible to model the real world control and signal processing problems using fractional order calculus ...
K.P.S. Rana, V. Kumar, N. Mittra, N. Pramanik   +3 more
doaj   +1 more source

ДРОБНОЕ ИСЧИСЛЕНИЕ И АППРОКСИМАЦИОННЫЕ МЕТОДЫ В МОДЕЛИРОВАНИИ ДИНАМИЧЕСКИХ СИСТЕМ [PDF]

, 2008
Книга посвящена аппроксимационно-операционным методам моделирования динамических систем дробного и смешанного порядков. Рассмотрены методы аппроксимации сигналов обобщенными полиномами с различными системами базисных функций, построение на основе этих ...
Симак, Лилия Алексеевна, Васильев, Всеволод Викторович   +1 more
core   +1 more source

On Implicit Atangana–Baleanu–Caputo Fractional Integro-Differential Equations with Delay and Impulses

Journal of Mathematics
In this paper, we study the existence and uniqueness of solutions for impulsive Atangana-Baleanu-Caputo ABC fractional integro-differential equations with boundary conditions.
Panjaiyan Karthikeyann, Sadhasivam Poornima, Kulandhaivel Karthikeyan, Chanon Promsakon, Thanin Sitthiwirattham   +4 more
doaj   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

FEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source

Proportional–Integral Observer-Based State Estimation for Markov Memristive Neural Network With Sensor Saturation Using Multiple Description Encoding Scheme

IEEE Access
This study examines a state estimation method based on a proportional–integral observer (PIO) for Markov memristive neural networks (MMNNs), considering the effects of sensor saturation and unreliable data transmission through a multiple ...
K. Kaliraj, T. Keerthika, Panumart Sawangtong   +2 more
doaj   +1 more source

Septin 9 PB domains coordinate centrosome positioning and microtubule acetylation to control epithelial polarity

FEBS Letters, EarlyView.
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai, Mohyeddine Omrane, Nassima Benzoubir, Didier Samuel, Ama Gassama‐Diagne   +4 more
wiley   +1 more source