Influence of the $ \beta $-fractional derivative on optical soliton solutions of the pure-quartic nonlinear Schrödinger equation with weak nonlocality DOI Creative Commons

Mahmoud Soliman,

Hamdy M. Ahmed, Niveen Badra

et al.

AIMS Mathematics, Journal Year: 2025, Volume and Issue: 10(3), P. 7489 - 7508

Published: Jan. 1, 2025

Language: Английский

INVESTIGATION OF FINANCIAL BUBBLE MATHEMATICAL MODEL UNDER FRACTAL-FRACTIONAL CAPUTO DERIVATIVE DOI
Bo Li, Tongxin Zhang, CHAO ZHANG

et al.

Fractals, Journal Year: 2023, Volume and Issue: 31(05)

Published: Jan. 1, 2023

In this study, we proposed a novel approach for modeling the dynamics of three-agent financial bubble using fractal-fractional (FF) derivative Caputo sense. This new concept was developed to deal with complex geometry any dynamical system, and it utilizes both fractional order fractal term independent variables. The model investigated conformable operator, focus on dimension order. existence uniqueness solution were tested FF global derivative, approximate root system calculated numerically iterative technique Newton polynomial. To verify accuracy scheme, applied power singular law two parameters in numerical technique. curve representation also verified by applying data fractals different orders. Additionally, sensitivities varying parameter values. allowed us gain better understanding how changes these affect system’s behavior stability. As result, study presents an innovative effective bubbles results research contribute ongoing efforts develop more accurate comprehensive models systems economics finance.

Language: Английский

Citations

55
Dynamical analysis of a discrete-time SIR epidemic model DOI
Bo Li, Zohreh Eskandari

Journal of the Franklin Institute, Journal Year: 2023, Volume and Issue: 360(12), P. 7989 - 8007

Published: June 15, 2023

Language: Английский

Citations

52
A NUMERICAL STUDY OF COMPLEX DYNAMICS OF A CHEMOSTAT MODEL UNDER FRACTAL-FRACTIONAL DERIVATIVE DOI Creative Commons
Zareen A. Khan, Kamal Shah, Bahaaeldin Abdalla

et al.

Fractals, Journal Year: 2023, Volume and Issue: 31(08)

Published: Jan. 1, 2023

In this paper, we study the existence of numerical solution and stability a chemostat model under fractal-fractional order derivative. First, investigate positivity roundedness considered system. Second, find system by employing Banach Schauder fixed-point theorems. Furthermore, obtain sufficient condition that allows stabling solutions using numerical-functional analysis. We proposed exists as unique positive obeys criteria Ulam–Hyers (U-H) generalized U-H stability. also establish analysis for scheme based on Lagrange interpolation procedure. Finally, provide two examples to verify correctness theoretical results. remark structure described is sometimes called side capacity or cross-flow model. The here can be seen limiting case pattern chemostats in parallel with diffusion connection. Moreover, said forms natural engineered systems significantly affect hydrodynamics porous media. Fractal calculus an excellent tool discuss fractal characteristics media characteristic method

Language: Английский

Citations

35
Application of multivariate bilinear neural network method to fractional partial differential equations DOI Creative Commons
Jian‐Guo Liu, Wen‐Hui Zhu,

Ya-Kui Wu

et al.

Results in Physics, Journal Year: 2023, Volume and Issue: 47, P. 106341 - 106341

Published: March 6, 2023

In this work, a multivariate bilinear neural network method is proposed to seek more exact analytical solutions of nonlinear partial differential equations. As an example, the (2+1)-dimensional fractional generalized Calogero–Bogoyavlensky–Schiff–Bogoyavlensky–Konopelchenko equation investigated via selecting 3-2-2-1, 3-2-3-1 and 3-3-2-1 models, respectively. The with several arbitrary activation functions are derived dynamics properties shown in some three-dimensional density maps by choosing different functions.

Language: Английский

Citations

32
Analysis of the mathematical model of cutaneous Leishmaniasis disease DOI Creative Commons
Muhammad Sinan, Khursheed J‎. ‎Ansari,

Asia Kanwal

et al.

Alexandria Engineering Journal, Journal Year: 2023, Volume and Issue: 72, P. 117 - 134

Published: April 6, 2023

Language: Английский

Citations

26
Qualitative analysis, exact solutions and symmetry reduction for a generalized (2＋1)-dimensional KP–MEW-Burgers equation DOI
Muhammad Rafiq, Nauman Raza, Adil Jhangeer

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 181, P. 114647 - 114647

Published: March 1, 2024

Language: Английский

Citations

15
Analysis of bifurcation, chaotic structures, lump and $ M-W $-shape soliton solutions to $ (2+1) $ complex modified Korteweg-de-Vries system DOI Creative Commons
M.A. El‐Shorbagy,

Sonia Akram,

Mati ur Rahman

et al.

AIMS Mathematics, Journal Year: 2024, Volume and Issue: 9(6), P. 16116 - 16145

Published: Jan. 1, 2024

<abstract><p>This research focuses on the fascinating exploration of $ (2+1) $-dimensional complex modified Korteweg-de Vries (CmKdV) system, exhibiting its dynamics and solitary wave solutions. This system is a versatile mathematical model that finds applications in various branches physics, including fluid dynamics, plasma optics, nonlinear dynamics. Two newly developed methodologies, namely auxiliary equation (AE) method Hirota bilinear (HB) method, are implemented for construction novel solitons formats. Numerous soliton solutions synthesised distinct formats, such as dark, bright, singular, periodic, combo, W $-shape, mixed trigonometric, exponential, hyperbolic, rational, based proposed methods. Furthermore, we also find some lump solutions, periodic cross rational wave, homoclinic breather solution, M $-shaped interaction with one kink multiwave which not documented literature. In addition, employ Galilean transformation to derive dynamic framework presented equation. Our inquiry includes wide range topics, bifurcations, chaotic flows, other intriguing properties. Also, physical demonstration acquired 3D, 2D, contour plots provided. The resulting structure results can enrich dynamical behaviors given may be useful many domains, physics well demonstrate approaches used effective worthy validation.</p></abstract>

Language: Английский

Citations

15
Impact of consumer preferences on pricing and strategic decisions in a triopoly with heterogeneous smart sustainable supply chains DOI
Subhamoy Bera, Bibhas C. Giri

Expert Systems with Applications, Journal Year: 2024, Volume and Issue: 247, P. 123348 - 123348

Published: Feb. 2, 2024

Language: Английский

Citations

13
Nonlinear complex dynamical analysis and solitary waves for the (3+1)-D nonlinear extended Quantum Zakharov–Kuznetsov equation DOI Creative Commons
Ibtehal Alazman, Badr Saad T. Alkahtani, Mati ur Rahman

et al.

Results in Physics, Journal Year: 2024, Volume and Issue: 58, P. 107432 - 107432

Published: Feb. 6, 2024

This manuscript is a captivating exploration of the (3+1)-D nonlinear extended Quantum Zakharov-Kuznetsov (NLEQZK) equation, revealing its complex dynamics and solitary wave solutions. We unveil general method behind this equation transform it into an ordinary differential (ODE), then venture further by using Galilean transformation to create system ODEs. Further, we journey through bifurcations, chaos, other fascinating dynamical properties, culminating in visualization analysis From elegant W-shaped solitons singular with unconventional characteristics hybrid periodic solitons, each discussed vivid detail. work presents significant advancement understanding unpredictable intricate behavior model, inviting readers explore world non-linear waves systems.

Language: Английский

Citations

9
Dynamical properties of a meminductor chaotic system with fractal–fractional power law operator DOI
Peiluan Li,

Liqin Han,

Changjin Xu

et al.

Chaos Solitons & Fractals, Journal Year: 2023, Volume and Issue: 175, P. 114040 - 114040

Published: Sept. 18, 2023

Language: Английский

Citations

18