Theoretical treatment and implementation of the SCM included Appell-Changhee polynomials for the fractional delayed carbon absorption-emission model

Khader, M.M.; Adel, M.; Riaz, Muhammad Bilal; Ahmad, Hijaz

doi:10.1016/j.rinp.2024.107459

Results in Physics

2024

DOI: 10.1016/j.rinp.2024.107459

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Theoretical treatment and implementation of the SCM included Appell-Changhee polynomials for the fractional delayed carbon absorption-emission model

M.M. Khader,

M. Adel,

Muhammad Bilal Riaz

et al.

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Cited by 3 publications

References 16 publications

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Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

Majid,

Asjad,

Riaz

et al. 2024

PLoS ONE

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This article aims to study the time fractional coupled nonlinear Schrödinger equation, which explains the interaction between modes in nonlinear optics and Bose-Einstein condensation. The proposed generalized projective Riccati equation method and modified auxiliary equation method extract a more efficient and broad range of soliton solutions. These include novel solutions like a combined dark-lump wave soliton, multiple dark-lump wave soliton, two dark-kink solitons, flat kink-lump wave, multiple U-shaped with lump wave, combined bright-dark with high amplitude lump wave, bright-dark with lump wave and kink dark-periodic solitons are derived. The travelling wave patterns of the model are graphically presented with suitable parameters in 3D, density, contour and 2D surfaces, enhancing understanding of parameter impact. The proposed model’s dynamics were observed and presented as quasi-periodic chaotic, periodic systems and quasi-periodic. This analysis confirms the effectiveness and reliability of the method employed, demonstrating its applicability in discovering travelling wave solitons for a wide range of nonlinear evolution equations.

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Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

Majid,

Asjad,

Riaz

et al. 2024

PLoS ONE

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Evaluating the drivers of B2B performance: An empirical analysis based on Alibaba

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PLoS ONE

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The rapid development of B2B has brought about fierce competition among suppliers, and how to gain customer attention and improve performance has become a common concern in academia and industry. This study examined the drivers and mechanisms of B2B performance from an enterprise capability perspective. We collected transaction and enterprise data from 325 suppliers on Alibaba 1688 platform and constructed a structural equation model (SEM). Results showed that supplier service capability, logistics capability, and production capacity all positively impacted B2B performance through the mediating role of customer attention. In addition, we found that service and logistics capabilities are more critical for attracting customer attention for Original Equipment Manufacturer (OEM) suppliers than for non-OEM suppliers. The findings contribute to understanding B2B commerce and provide constructive directions for B2B suppliers to improve their performance.

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Novel Approach by Shifted Fibonacci Polynomials for Solving the Fractional Burgers Equation

Alharbi,

Abu Sunayh,

Atta

et al. 2024

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This paper analyzes a novel use of the shifted Fibonacci polynomials (SFPs) to treat the time-fractional Burgers equation (TFBE). We first develop the fundamental formulas of these polynomials, which include their power series representation and the inversion formula. We establish other new formulas for the SFPs, including integer and fractional derivatives, in order to design the collocation approach for treating the TFBE. These derivative formulas serve as tools that aid in constructing the operational metrics for the integer and fractional derivatives of the SFPs. We use these matrices to transform the problem and its underlying conditions into a system of nonlinear equations that can be treated numerically. An error analysis is analyzed in detail. We also present three illustrative numerical examples and comparisons to test our proposed algorithm. These results showed that the proposed algorithm is advantageous since highly accurate approximate solutions can be obtained by choosing a few terms of retained modes of SFPs.

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Theoretical treatment and implementation of the SCM included Appell-Changhee polynomials for the fractional delayed carbon absorption-emission model

Cited by 3 publications

References 16 publications

Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

Analyzing chaos and superposition of lump waves with other waves in the time-fractional coupled nonlinear schördinger equation

Evaluating the drivers of B2B performance: An empirical analysis based on Alibaba

Novel Approach by Shifted Fibonacci Polynomials for Solving the Fractional Burgers Equation

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