The Layla and Majnun mathematical model of fractional order: Stability analysis and numerical study

Izadi, Mohammad; Sene, Ndolane; Adel, Waleed; El-Mesady, A.

doi:10.1016/j.rinp.2023.106650

Cited by 9 publications

(2 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This enables more accurate predictions of how past interactions influence current information dissemination patterns. Izadi et al [36] investigated the Layla and Majnun fractional mathematical model, describing the emotional dynamics of two lovers, using spectral collocation matrix and quasilinearization methods with Schröder polynomials. The study included stability analysis, convergence analysis validating the acquired results' accuracy, and the model's ability to effectively capture hereditary effects and simulate complex problems.…”

Section: Fractional Order Applications In Multi-disciplinary Fieldsmentioning

confidence: 99%

Analyzing election trends incorporating memory effect through a fractional-order mathematical modeling

Santra,

Mahapatra

2024

Phys. Scr.

View full text Add to dashboard Cite

This study proposes a new mathematical model to analyze and predict the results of a political election. In general, we predict or analyze the results using statistical methods; however, to minimize the effort of the study, we propose a fractional-order modeling approach. This study proposes a model to analyze and predict general election result trends in India, focusing on the state of West Bengal. To incorporate memory into the model, we consider the Caputo fractional derivative. The model solution's positivity, boundedness, existence, and uniqueness were tested analytically. Numerical simulations were carried out to investigate the impact of the parameters and evaluate the model's performance by incorporating the implications of the previous election for realistic situations. Following this, a qualitative analysis of the performance of political parties is discussed, and a prediction of the electoral victory is obtained.

show abstract

Section: Fractional Order Applications In Multi-disciplinary Fieldsmentioning

confidence: 99%

Analyzing election trends incorporating memory effect through a fractional-order mathematical modeling

Santra,

Mahapatra

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…Previous research has witnessed the utilization of a variety of approaches to create numerical solutions for FDEs through the use of both orthogonal and non-orthogonal polynomials. There are a number of papers [24][25][26][27][28][29][30] that talk about different OMs of JPs and some of their special cases. These papers use different spectral methods by utilizing these OMs to solve different kinds of DEs and FDEs numerically, subject to different kinds of IBCs.…”

Section: Introductionmentioning

confidence: 99%

New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations

Ahmed

2024

Fractal Fract

View full text Add to dashboard Cite

The current study discusses a novel approach for numerically solving MTVO-TFDWEs under various conditions, such as IBCs and DBCs. It uses a class of GSJPs that satisfy the given conditions (IBCs or DBCs). One of the important parts of our method is establishing OMs for Ods and VOFDs of GSJPs. The second part is using the SCM by utilizing these OMs. This algorithm enables the extraction of precision and efficacy in numerical solutions. We provide theoretical assurances of the treatment’s efficacy by validating its convergent and error investigations. Four examples are offered to clarify the approach’s practicability and precision; in each one, the IBCs and DBCs are considered. The findings are compared to those of preceding studies, verifying that our treatment is more effective and precise than that of its competitors.

show abstract

Fractional order mathematical model of Ebola virus under Atangana–Baleanu–Caputo operator

Yadav,

Jahan,

Nisar

2023

Results in Control and Optimization

View full text Add to dashboard Cite

The Layla and Majnun mathematical model of fractional order: Stability analysis and numerical study

Cited by 9 publications

References 45 publications

Analyzing election trends incorporating memory effect through a fractional-order mathematical modeling

Analyzing election trends incorporating memory effect through a fractional-order mathematical modeling

New Generalized Jacobi Galerkin Operational Matrices of Derivatives: An Algorithm for Solving Multi-Term Variable-Order Time-Fractional Diffusion-Wave Equations

Fractional order mathematical model of Ebola virus under Atangana–Baleanu–Caputo operator

Contact Info

Product

Resources

About