Results 91 to 100 of about 3,521 (216)

Local Fractional Operator for the Solution of Quadratic Riccati Differential Equation with Constant Coefficients [PDF]

, 2017
In this paper, we consider approximate solutions of fractional Riccati differential equations via the application of local fractional operator in the sense of Caputo derivative.
Akinlabi, G. O., Edeki, S.O., Onyenike, Kenneth   +2 more
core  

Grassmannian flows and applications to nonlinear partial differential equations

, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo, A Pressley, C Martin, C Pöppe, C Pöppe, C Pöppe, C Pöppe, CA Tracy, FJ Dyson, G Segal, G Wilson, HP McKean, I. Karambal, J Deng, J Schiff, JC Alexander, K Furutani, M Beck, M Reed, M Sato, M. I. Zelikin, MA Guest, Margaret Beck, MJ Ablowitz, NF Britton, Ole Christensen, P Balazs, P Griffiths, PG Drazin, Philippe Blanchard, R Hermann, RK Dodd, RM Miura, RW Brockett, S Bian, T Miwa, V Ledoux, V Ledoux, VE Zakharov, W Bauhardt   +39 more
core   +1 more source

Exploring the Chavy–Waddy–Kolokolnikov Model: Analytical Study via Recently Developed Techniques

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This work explores the analytical soliton solutions to the Chavy–Waddy–Kolokolnikov equation (CWKE), which is a well‐known equation in biology that shows how light‐attracted bacteria move together. This equation is very useful for analyzing pattern creation, instability regimes, and minor changes in linear situations since bacterial movement is very ...
Jan Muhammad, David Yaro, Usman Younas, Chang Phang   +3 more
wiley   +1 more source

Exact Solitary Wave Solutions in Nonlinear Carbon Nanotube Composite Beams on Viscoelastic Foundations Under M‐Truncated Derivative

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed, Nauman Ahmed, Muhammad Zafarullah Baber, Tukur Abdulkadir Sulaiman, Taha Radwan, Abeer S. Khalifa, Karim K. Ahmed, Dimitri Mugnai   +7 more
wiley   +1 more source

Statistical analysis of the mixed fractional Ornstein--Uhlenbeck process

, 2017
This paper addresses the problem of estimating drift parameter of the Ornstein - Uhlenbeck type process, driven by the sum of independent standard and fractional Brownian motions.
Chigansky, Pavel, Kleptsyna, Marina
core  

On the simulation of fractional Riccati equations with physics-informed neural networks

Discover Applied Sciences
The Riccati equations are a classical type of nonlinear differential equations with important applications across mathematics, physics, and engineering.
Narendra Kumawat, Alok Bhargava
doaj   +1 more source

Oscillation Behavior for a Class of Differential Equation with Fractional-Order Derivatives

Abstract and Applied Analysis, 2014
By using a generalized Riccati transformation technique and an inequality, we establish some oscillation theorems for the fractional differential equation [atpt+qtD-αxt)γ′ − b(t)f∫t∞‍(s-t)-αx(s)ds = 0, for t⩾t0>0, where D-αx is the Liouville right-sided ...
Shouxian Xiang, Zhenlai Han, Ping Zhao, Ying Sun   +3 more
doaj   +1 more source

The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type

Discrete Dynamics in Nature and Society, 2020
In this paper, the oscillatory of the Kamenev-type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t≥t0 and ...
Hui Liu, Run Xu
doaj   +1 more source

New analytical wave solutions of fractional order DMBBM and Bateman-Burgers equations

Frontiers in Applied Mathematics and Statistics
The purpose of this article is to explore a new method for solving one of the nonlinear partial differential equations (NPDE) which is difficult to solve.
Nathanon Sribua-Iam, Settapat Chinviriyasit   +1 more
doaj   +1 more source

Oscillation for a Class of Right Fractional Differential Equations on the Right Half Line with Damping

Discrete Dynamics in Nature and Society, 2019
In this paper, we discuss a class of fractional differential equations of the form D-α+1y(t)·D-αy(t)-p(t)f(D-αy(t))+q(t)h∫t∞(s-t)-αy(s)ds=0.D-αy(t) is the Liouville right-sided fractional derivative of order α∈(0,1).
Hui Liu, Run Xu
doaj   +1 more source