Results 41 to 50 of about 492,476 (332)

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

A Brief Review of Fractional Calculus as a Tool for Applications in Physics: Adsorption Phenomena and Electrical Impedance in Complex Fluids

Fractal and Fractional
Many fundamental physical problems are modeled using differential equations, describing time- and space-dependent variables from conservation laws. Practical problems, such as surface morphology, particle interactions, and memory effects, reveal the ...
G. Barbero, L. R. Evangelista, R. Zola, E. Lenzi, A. Scarfone   +4 more
semanticscholar   +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

Fractional derivatives and the fundamental theorem of fractional calculus [PDF]

, 2020
In this paper, we address the one-parameter families of the fractional integrals and derivatives defined on a finite interval. First we remind the reader of the known fact that under some reasonable conditions, there exists precisely one unique family of
Yuri Luchko
semanticscholar   +1 more source

Fractional-calculus diffusion equation [PDF]

Nonlinear Biomedical Physics, 2010
Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.The canonical quantization of a system represented classically by one-dimensional Fick's law, and the ...
Ajlouni, Abdul-Wali M. S., Al-Rabai'ah, Hussam A.   +1 more
openaire   +2 more sources