Piecewise Business Bubble System under Classical and Nonsingular Kernel of Mittag–Leffler Law DOI Creative Commons
Chao Zhang, Bo Li

Entropy, Journal Year: 2023, Volume and Issue: 25(3), P. 459 - 459

Published: March 6, 2023

This study aims to investigate the dynamics of three agents in emerging business bubble model based on Mittag-Leffler law pertaining piecewise classical derivative and non-singular kernel. By generalizing terms fractional operators concept, this presents a new perspective field. The entire set intervals is partitioned into two analyse order conformable derivatives an Atangana-Baleanu operator. subinterval analysis critical for removing discontinuities each sub-partition. existence uniqueness solution global are tested considered model. approximate root system determined using numerically iterative technique Newton polynomial. Under law, scheme applied derivative. curve representation piece-wise globalised by applying data different orders. establishes density compartment shows continuous spectrum instead discrete dynamics. concept can also be crossover behaviours or abrupt changes values market.

Language: Английский

Stability and Numerical Analysis of a Coupled System of Piecewise Atangana–Baleanu Fractional Differential Equations with Delays DOI Creative Commons
Mohammed A. ‬Almalahi, Khaled Aldwoah, Kamal Shah

et al.

Qualitative Theory of Dynamical Systems, Journal Year: 2024, Volume and Issue: 23(3)

Published: Feb. 9, 2024

Abstract This paper focuses on using piecewise derivatives to simulate the dynamic behavior and investigate crossover effect within coupled fractional system with delays by dividing study interval into two subintervals. We establish prove significant lemmas concerning derivatives. Furthermore, we extend develop necessary conditions for existence uniqueness of solutions, while also investigating Hyers–Ulam stability results proposed system. The are derived Banach contraction principle Leary–Schauder alternative fixed-point theorem. Additionally, employ a numerical method based Newton’s interpolation polynomials compute approximate solutions considered Finally, provide an illustrative example demonstrating our theoretical conclusions’ practical application.

Language: Английский

Citations

6
A Novel Hybrid Crossover Dynamics of Monkeypox Disease Mathematical Model with Time Delay: Numerical Treatments DOI Creative Commons
N. H. Sweilam, Seham M. Al‐Mekhlafi,

Saleh M. Hassan

et al.

Fractal and Fractional, Journal Year: 2024, Volume and Issue: 8(4), P. 185 - 185

Published: March 24, 2024

In this paper, we improved a mathematical model of monkeypox disease with time delay to crossover by incorporating variable-order and fractional differential equations, along stochastic derivatives, in three different intervals. The stability positivity the solutions for proposed are discussed. Two numerical methods constructed study behavior models. These nonstandard modified Euler Maruyama technique Caputo proportional constant Adams-Bashfourth fifth step method. Many experiments were conducted verify efficiency support theoretical results. This study’s originality is use fresh data simulation techniques solution methodologies.

Language: Английский

Citations

4
An effective extended cubic B-spline approach for solving time-fractional diffusion wave equation with exponential kernel DOI Creative Commons
Madiha Shafiq, Ammara Fatima, Muhammad Abbas

et al.

Alexandria Engineering Journal, Journal Year: 2025, Volume and Issue: 117, P. 148 - 163

Published: Jan. 13, 2025

Language: Английский

Citations

0
Semi-analytical approach for solving the mathematical model of solid-phase diffusion in electrodes: An application of modified differential transform method DOI Creative Commons

S. Shivaranjini,

Neetu Srivastava

Partial Differential Equations in Applied Mathematics, Journal Year: 2025, Volume and Issue: unknown, P. 101107 - 101107

Published: Feb. 1, 2025

Language: Английский

Citations

0
Modeling Hybrid Crossover Dynamics of Immuno‐Chemotherapy and Gene Therapy: A Numerical Approach DOI Open Access
Muner M. Abou Hasan, Seham M. Al‐Mekhlafi, Fathalla A. Rihan

et al.

Mathematical Methods in the Applied Sciences, Journal Year: 2025, Volume and Issue: unknown

Published: Feb. 3, 2025

ABSTRACT A piecewise fractional differential equation (deterministic–stochastic or vice versa) has appeared in recent literature. Piecewise operators are used to study crossover real data effectively. By using stochastic–deterministic hybrid derivatives, with fractional‐order and variable‐order operators, this paper extends the deterministic model of immuno‐chemotherapy gene therapy time delay. The combines traditional chemotherapy immunotherapy genetic engineering techniques enhance immune system's ability target destroy cancer cells. This offers a multifaceted approach treatment, potentially enhancing effectiveness while minimizing side effects. Two approximation solve proposed numerically. In models, we use nonstandard Caputo proportional constant finite difference method, stochastic Milstein technique. We examine stability analysis these methods ensure their efficiency. Both theoretical results efficiency confirmed by numerical tests. New illustrated curves presented. Studying introduced delay along case greatly explained dynamics interaction.

Language: Английский

Citations

0
Mathematical model analysis of malaria transmission dynamics with induced complications DOI Creative Commons

Bereket Hido Wako,

Mohammed Yiha Dawed,

Legesse Lemecha Obsu

et al.

Scientific African, Journal Year: 2025, Volume and Issue: unknown, P. e02635 - e02635

Published: March 1, 2025

Language: Английский

Citations

0
Mathematical modelling and analysis of stochastic malaria and COVID-19 co-infection model DOI Creative Commons
Michael Asamani Pobbi,

Samuel M. Naandam,

Stephen E. Moore

et al.

Applied Mathematics in Science and Engineering, Journal Year: 2025, Volume and Issue: 33(1)

Published: March 19, 2025

Language: Английский

Citations

0
On a piecewise psi-Hilfer fractional differential equation DOI
Wael Abdelhedi

Complex Variables and Elliptic Equations, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 18

Published: April 13, 2025

Citations

0
A new crossover dynamics mathematical model of monkeypox disease based on fractional differential equations and the Ψ-Caputo derivative: Numerical treatments DOI Creative Commons
N. H. Sweilam, Seham M. Al‐Mekhlafi, Waleed Abdel Kareem

et al.

Alexandria Engineering Journal, Journal Year: 2024, Volume and Issue: 111, P. 181 - 193

Published: Oct. 22, 2024

Language: Английский

Citations

3
Numerical Treatments for Crossover Cancer Model of Hybrid Variable-Order Fractional Derivatives DOI Open Access
N. H. Sweilam, Seham M. Al‐Mekhlafi,

Aya Ahmed

et al.

Computer Modeling in Engineering & Sciences, Journal Year: 2024, Volume and Issue: 140(2), P. 1619 - 1645

Published: Jan. 1, 2024

In this paper, two crossover hybrid variable-order derivatives of the cancer model are developed.Grünwald-Letnikov approximation is used to approximate fractional and operators.The existence, uniqueness, stability proposed discussed.Adams Bashfourth's fifth-step method with a operator developed study models.Comparative studies generalized fifth-order Runge-Kutta given.Numerical examples comparative verify applicability methods demonstrate simplicity these approximations presented.We have showcased efficiency garnered robust empirical support for our theoretical findings.

Language: Английский

Citations

2