This book presents cutting-edge mathematical models and advanced applications in epidemiology, enriched by the use of fractional calculus techniques. Highlighting sustainable applications that directly address topics related to SDG 3 (Good Health and Well-Being), it discusses novel research, methodologies and applications within the domains of mathematical epidemiology and fractional calculus, offering insights into disease modeling and analysis that have not been previously documented. This book contributes to the development of epidemiological mapping at the national level and lays a foundation for future investigations into the dynamics of infectious disease inflow. By deepening the understanding of disease transmission and spread, the findings support the formulation of effective public health strategies in anticipation of epidemic outcomes. Furthermore, this book provides a framework for evaluating the effectiveness of control measures, equipping health departments with actionable guidelines for disease prevention and eradication efforts. It offers a comprehensive exploration of mathematical techniques, making it a valuable resource for scientists and public health professionals seeking robust approaches to epidemic simulation and control.

This book is intended for epidemiologists, biomedical engineers, researchers, and graduate students engaged in the study of mathematical modeling, dynamical systems, and fractional calculus. Additionally, the book appeals to those interested in advanced computational strategies and fractional calculus methods for epidemic forecasting, intervention and prevention.

Discusses mathematical models and applications in epidemiology, enriched by the use of fractional calculus techniques Highlights sustainable applications that directly address topics related to SDG 3 (Good Health and Well-Being) Focuses on the epidemiological mapping and lays a foundation for future research in infectious disease inflow

Autorentext

Prof. (Dr.) Kottakkaran Sooppy Nisar is a full professor of applied mathematics at Prince Sattam bin Abdulaziz University, Al Kharj, Saudi Arabia. He is an adjunct professor at Saveetha School of Engineering, SIMATS, Chennai, India; a senior research fellow at Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Jordan; and a research fellow at INTI International University, Malaysia. His current research interests include artificial intelligence, fractional calculus, fluid dynamics, biomathematics, machine learning, SAC-OCDMA, and multidisciplinary applications of mathematics. He has won several awards, such as the PSAU Research Excellent Award, the Riemann Young Researcher Award in 2020, the Indo-Asian-Niels Henrik Distinguished Innovative Scientist Award in 2020, the Jaipur Mathematical Society's Young Distinguished Researcher Award in 2021, and the Obada Prize in 2021 for the Young Distinguished Researcher. A survey conducted by Elsevier BV and Stanford University identified Prof. Nisar as one of the world's top 2% scientists (all fields) based on citations, h-index, and co-authorship-adjusted h-index over the previous five years. He is an editorial board member of many journals and has published more than 1000 research papers in Scopus/WOS-indexed journals, accumulating over 30,000 citations.

Assoc. Prof. (Dr.) Muhammad Farman is an associate professor at the Near East University Mathematical Research Center, Cyprus. He completed postdoctoral fellowships at Universitas Airlangga (Indonesia), Lebanese American University, and Near East University (North Cyprus, Turkey). With more than eight years of teaching and research experience, his research fields are mathematical biology, control theory, numerical analysis, and the application of fractional calculus on epidemic models. With more than 200 research papers in reputed SCI and Scopus journals, he has presented his work at several national and international conferences. He won several awards, including the Research Excellence Awards (Best Researcher of the University). He is the reviewer for the Web of Science and Scopus journals. He is editor-in-chief of the Journal of Mathematical Modeling and Fractional Calculus .

Inhalt

Introduction.- Power Law Kernel for Ordinary Differential Equations.- Existence of Uniqueness of Caputo-Fabrizio Fractional Operator.- Fractal Fractional Operator with Mittag-Leffler Kernel: Application and Analysis.- Stability Analysis of Life Sciences Model.- Hybrid Fractional Operator with Piecewise Function for Epidemic Model.- Constant Proportional with Caputo Fractional Derivative.- Advances in Fractional Operator.- Mathematical Analysis of Partial Differential Equation with Fractional Operator.