We study linear and nonlinear fractional differential equations of order 0 < α < 1, involving the Atangana–Baleanu fractional derivative. We establish existence and uniqueness results to the linear and nonlinear problems using Banach fixed point theorem. We then develop a numerical technique based on the Chebyshev collocation method to solve the problem. As an…
Chaos Solitons & Fractals X Template
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About the Chaos Solitons & Fractals X format
Chaos Solitons & Fractals X is a peer-reviewed journal published by Elsevier, covering Fractional Differential Equations Solutions, Mathematical and Theoretical Epidemiology and Ecology Models, Diverse Scientific and Economic Studies.
| Publisher | Elsevier |
|---|---|
| Reference style | Numbered (Elsevier) Numbered — [1], [2] in the text [1] A. Smith, B. Jones, C. Lee, A representative article title, Chaos Solitons & Fractals X 12 (2023) 45–58.
Formats any DOI in Chaos Solitons & Fractals X style. No sign-up. |
| Publishes research in | Fractional Differential Equations Solutions Mathematical and Theoretical Epidemiology and Ecology Models Diverse Scientific and Economic Studies Human auditory perception and evaluation Educational Robotics and Engineering |
| ISSN | 2590-0544 |
| Citation impact (2-yr) | 4.25 |
| h-index | 18 |
| i10-index | 31 |
| Total citations | 1,105 |
| Article processing charge | $1,500 |
| Top institutions publishing here | University of Jordan |
| Journal website | www.journals.elsevier.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Chaos Solitons & Fractals X per year
Citation impact of Chaos Solitons & Fractals X by publication year
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Most-cited papers in Chaos Solitons & Fractals X
In Network Science, node neighbourhoods, also called ego-centered networks, have attracted significant attention. In particular the clustering coefficient has been extensively used to measure their local cohesiveness. In this paper, we show how, given two nodes with the same clustering coefficient, the topology of their neighbourhoods can be significantly different, which demonstrates the need to…
This work deals with the inverse problem in epidemiology based on a SIR model with time-dependent infectivity and recovery rates, allowing for a better prediction of the long term evolution of a pandemic. The method is used for investigating the COVID-19 spread by first solving an inverse problem for estimating the infectivity and recovery rates…
In this work, we develop a sophisticated mathematical model for dengue transmission dynamics based on vaccination, reinfection and carrier class assumptions. We utilize Caputo-Fabrizio fractional framework to represent the transmission phenomena of dengue. For the model analysis, the basic theory and findings of the Caputo-Fabrizio fractional operator are provided. We utilize the next-generation approach to…
Chaotic system has been widely used in the design of pseudorandom sequence generators. However, the performance of pseudorandom sequence generators is greatly affected by the chaotic degradation, which is caused by computational accuracy. In this paper, we propose a self-perturbed pseudorandom sequence generator based on hyper-chaotic system to overcome this problem. A novel hyper-chaotic system…