Results 31 to 40 of about 11,696 (294)

Fractional Calculus [PDF]

, 2011
Fractional calculus: Models and numerical ...
BALEANU D, DIETHELM K, SCALAS, Enrico, TRUJILLO J. J.   +3 more
  +7 more sources

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

N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION

Проблемы анализа, 2018
We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper.
R. Yilmazer, O. Ozturk
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

Weighted Fractional Calculus: A General Class of Operators

Fractal and Fractional, 2022
We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
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

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

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

Fractional Order Sequential Minimal Optimization Classification Method

Fractal and Fractional, 2023
Sequential minimal optimization (SMO) method is an algorithm for solving optimization problems arising from the training process of support vector machines (SVM).
Chunna Zhao, Licai Dai, Yaqun Huang
doaj   +1 more source

Biophysical analysis of angiotensin II and amyloid‐β cross‐interaction in aggregation and membrane disruption

FEBS Letters, EarlyView.
Angiotensin II (AngII), a neuropeptide, interacts with amyloid‐β (Aβ), a key player in Alzheimer's disease. This study reveals that AngII reduces Aβ aggregation and membrane disruption in vitro. Biophysical assays and molecular modeling suggest AngII binds disordered Aβ forms, potentially modulating early amyloidogenic events and contributing to ...
Mohsen Habibnia, Eric Catalina‐Hernandez, Maialen Cabrerizo‐Idiazabal, Ramon Barnadas‐Rodríguez, Mario Lopez‐Martin, Alex Peralvarez‐Marin   +5 more
wiley   +1 more source