Pub Date : 2023-09-18DOI: 10.1142/s0218348x24400115
Peiluan Li, Changjin Xu, Muhammad Farman, Ali Akgul, Yicheng Pang
{"title":"Qualitative and Stability Analysis with Lyapunov Function of Emotion Panic Spreading Model insight of Fractional Operator","authors":"Peiluan Li, Changjin Xu, Muhammad Farman, Ali Akgul, Yicheng Pang","doi":"10.1142/s0218348x24400115","DOIUrl":"https://doi.org/10.1142/s0218348x24400115","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"226 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.1142/s0218348x2440005x
Jun-Ru Wu, Zhe Ji, Kai-Chao Zhang
{"title":"A new estimation of Box dimension of Riemann-Liouville fractional calculus of continuous functions","authors":"Jun-Ru Wu, Zhe Ji, Kai-Chao Zhang","doi":"10.1142/s0218348x2440005x","DOIUrl":"https://doi.org/10.1142/s0218348x2440005x","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.1142/s0218348x24400024
Manuj Verma, Amit Priyadarshi
{"title":"Fractal Surfaces Involving Rakotch Contraction for Countable Data Sets","authors":"Manuj Verma, Amit Priyadarshi","doi":"10.1142/s0218348x24400024","DOIUrl":"https://doi.org/10.1142/s0218348x24400024","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.1142/s0218348x24400139
Kamal Shah, Aziz Khan, Bahaaeldin Abdalla, Khalid Ali Khan, Thabet Abdeljawad
{"title":"A Mathematical Model for Nipah Virus Disease by Using Piecewise Fractional Order Caputo Derivative","authors":"Kamal Shah, Aziz Khan, Bahaaeldin Abdalla, Khalid Ali Khan, Thabet Abdeljawad","doi":"10.1142/s0218348x24400139","DOIUrl":"https://doi.org/10.1142/s0218348x24400139","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.1142/s0218348x24400012
Subhash Chandra, Syed Abbas, Yongshun Liang
{"title":"A Note on Fractal Dimension of Riemann-Liouville Fractional Integral","authors":"Subhash Chandra, Syed Abbas, Yongshun Liang","doi":"10.1142/s0218348x24400012","DOIUrl":"https://doi.org/10.1142/s0218348x24400012","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"498 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209362","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.1142/s0218348x24400140
Changjin Xu, Muhammad Farman, Zixin Liu, Yicheng Pang
{"title":"Numerical Approximation and Analysis of Epidemic model with Constant Proportional Caputo(CPC) Operator","authors":"Changjin Xu, Muhammad Farman, Zixin Liu, Yicheng Pang","doi":"10.1142/s0218348x24400140","DOIUrl":"https://doi.org/10.1142/s0218348x24400140","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.1142/s0218348x24400048
Najmeddine Attia, Bilel Selmi
{"title":"Subsets of positive and finite multifractal measures","authors":"Najmeddine Attia, Bilel Selmi","doi":"10.1142/s0218348x24400048","DOIUrl":"https://doi.org/10.1142/s0218348x24400048","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-18DOI: 10.1142/s0218348x24400073
Dong Yang, Xia Yuan, Kang Zhang, Shiwei Wu, Chunxia Zhao
{"title":"A One-Dimensional Continuous Function with Unbounded Variation","authors":"Dong Yang, Xia Yuan, Kang Zhang, Shiwei Wu, Chunxia Zhao","doi":"10.1142/s0218348x24400073","DOIUrl":"https://doi.org/10.1142/s0218348x24400073","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135209357","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-08DOI: 10.1142/s0218348x23402016
Faiz Muhammad Khan, Amjad Ali, None Abdullah, Ilyas Khan, Abha Singh, Sayed M. Eldin
{"title":"Analytic Solution of One-dimensional Fractional Glycolysis Model","authors":"Faiz Muhammad Khan, Amjad Ali, None Abdullah, Ilyas Khan, Abha Singh, Sayed M. Eldin","doi":"10.1142/s0218348x23402016","DOIUrl":"https://doi.org/10.1142/s0218348x23402016","url":null,"abstract":"","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136363004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-09-02DOI: 10.1142/s0218348x2350086x
Nan Zhang, Emmanuel Addai, Lingling Zhang, M. Ngungu, E. Marinda, Joshua Kiddy K. Asamoah
In this paper, we investigate a deterministic mathematical model of Marburg–Monkeypox virus co-infection transmission under the Caputo fractional-order derivative. We discussed the dynamics behavior of the model and carried out qualitative and quantitative analysis, including the positivity–boundedness of solution, and the basic reproduction number [Formula: see text]. In addition, the Banach and Schauder-type fixed point theorem is utilized to explore the existence–uniqueness of the solution in the suggested model and the proposed model stability under the Ulam–Hyers condition is demonstrated. In numerical simulation, the Predictor–Corrector method is used to determine the numerical solutions. According to the numerical result, increasing the rate of quarantine and detecting unknown Marburg virus, will be the most effective control intervention to reduce Marburg and Monkeypox virus transmission in the population.
{"title":"FRACTIONAL MODELING AND NUMERICAL SIMULATION FOR UNFOLDING MARBURG–MONKEYPOX VIRUS CO-INFECTION TRANSMISSION","authors":"Nan Zhang, Emmanuel Addai, Lingling Zhang, M. Ngungu, E. Marinda, Joshua Kiddy K. Asamoah","doi":"10.1142/s0218348x2350086x","DOIUrl":"https://doi.org/10.1142/s0218348x2350086x","url":null,"abstract":"In this paper, we investigate a deterministic mathematical model of Marburg–Monkeypox virus co-infection transmission under the Caputo fractional-order derivative. We discussed the dynamics behavior of the model and carried out qualitative and quantitative analysis, including the positivity–boundedness of solution, and the basic reproduction number [Formula: see text]. In addition, the Banach and Schauder-type fixed point theorem is utilized to explore the existence–uniqueness of the solution in the suggested model and the proposed model stability under the Ulam–Hyers condition is demonstrated. In numerical simulation, the Predictor–Corrector method is used to determine the numerical solutions. According to the numerical result, increasing the rate of quarantine and detecting unknown Marburg virus, will be the most effective control intervention to reduce Marburg and Monkeypox virus transmission in the population.","PeriodicalId":55144,"journal":{"name":"Fractals-Complex Geometry Patterns and Scaling in Nature and Society","volume":" ","pages":""},"PeriodicalIF":4.7,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45849698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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