This book is a valuable source for graduate students and researchers and provides a comprehensive introduction to recent theories and applications of mathematical modeling and numerical simulation. It includes selected peer-reviewed papers presented at the 4th International Conference on Mathematical Modelling, Applied Analysis and Computation (ICMMAAC 2021), held at JECRC University, Jaipur, India, during August 5–7, 2021. The book is focused on mathematical modeling of various problems arising in science and engineering and new efficient numerical approaches for solving linear nonlinear problems and rigorous mathematical theories, which can be used to analyze different kinds of mathematical models. Applications of mathematical methods in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science, and finance are presented.
Jagdev Singh is Professor and Head in the Department of Mathematics at JECRC University, Rajasthan, India. He did his Master of Science (M.Sc.) and Ph.D. both in Mathematics from University of Rajasthan, India. His fields of research include Mathematical Modelling, Special Functions, Fractional Calculus, Fluid Dynamics, Analytical and Numerical Methods. He has published four books, viz. Fractional Calculus in Medical and Health Science (2020), Engineering Mathematics-I (2008), Engineering Mathematics-II (2013), and Advanced Engineering Mathematics-IV (2008). He has to his credit over 210 research papers published in various journals of repute, and his h-index is 46. He has attended a number of national and international conferences and presented several research papers. He is on the Editorial Board of various journals and reviewer of several journals. He is on the Clarivate Analytics list of highly cited researchers in 2020. He won the Riemann Award for Young Scientists in Testimony of the High Regard of Achievements in the area of Fractional Calculus and its Applications in the First International Conference on Modern Fractional Calculus and Its Applications at Biruni University, Istanbul, Turkey, December 4-6, 2020. He won the International Obada Prize in 2021 for Young Distinguished Researcher.
George A. Anastassiou was born in Athens, Greece, in 1952. He received his B.SC. degree in Mathematics from Athens University, Greece, in 1975. He received his Diploma in Operations Research from Southampton University, UK, in 1976. He also received his MA in Mathematics from University of Rochester, USA, in 1981. He was awarded his Ph. D. in Mathematics from University of Rochester, USA, in 1984. During 1984-86, he served as Visiting Assistant Professor at the University of Rhode Island, USA. Since 1986 till now 2020, he is Faculty Member at the University of Memphis, USA. He is currently Full Professor of Mathematics since 1994. His research area is “Computational Analysis” in the very broad sense. He has published over 550 research articles in international mathematical journals and over 43 monographs, proceedings, and textbooks in well-known publishing houses. Several awards have been awarded to him. In 2007, he received the Honorary Doctoral Degree from University of Oradea, Romania. He is Associate Editor in over 70 international mathematical journals and Editor in Chief in 3 journals, most notably in the well-known “Journal of Computational Analysis and Applications.”
Dumitru Baleanu is Professor at the Institute of Space Sciences, Magurele–Bucharest, Romania, and Visiting Staff Member at the Department of Mathematics, Cankaya University, Ankara, Turkey. His research interests include fractional dynamics and its applications, fractional differential equations, dynamic systems on time scales, and Lie symmetries. He has published more than 1000 papers indexed in SCI. He is one of the editors of 5 books published by Springer and one published by AIP Conference Proceedings. He is Editorial Board Member of the journals indexed in SCI, viz. Mathematical Methods in Applied Sciences, Applied Numerical Mathematics, Mathematics, Journal of Computational and Nonlinear Dynamics, Symmetry and Fractional Calculus and Applied Analysis. He has received more than 15000 citations in journals covered by SCI, and his Hirsch index is 65. He was on the Thompson Reuter list of highly cited researchers in 2015, 2016, 2017, 2018, 2019, and 2020. He won the International Obada Prize in 2019.
Carlo Cattani is Professor (Habil. Full Professor) of Mathematical Physics at the Department of Economics, Engineering, Society and Enterprise of Tuscia University, Italy, since 2015. He has been previously appointed at the University of Rome “La Sapienza” (1980-2004) and University of Salerno (2004-2015). He is Research Fellow at the Italian Council of Research (1978-1980) and Visiting Research Fellow at the Physics Institute of the Stockholm University (1987-1988). His main research interests are focusing on numerical and computational mathematical models and methods. Author of more than 270 scientific papers and several books, he has given significant contributions to fundamental topics such as numerical methods, fractional calculus, fractals, wavelets, and nonlinear waves. He has been awarded as Honorary Professor at the Azerbaijan University (2019), at the BSP University, Ufa-Russia (2009), and (in 2018) as Adjunct Professor at the Ton Duc Thang University – HCMC Vietnam.
Devendra Kumar is Assistant Professor in the Department of Mathematics, University of Rajasthan, Rajasthan, India. He did his Master of Science (M.Sc.) and Ph.D. both in Mathematics from University of Rajasthan, India. His areas of interest are Mathematical Modelling, Special Functions, Fractional Calculus, Applied Functional Analysis, Nonlinear Dynamics, Analytical and Numerical Methods. He has published four books, viz. Engineering Mathematics-I (2008), Engineering Mathematics-II (2013), Fractional Calculus in Medical and Health Science (2020), and Methods of Mathematical Modelling: Fractional Differential Equations (2020). He has to his credit over 225 research papers published in various journals of repute, and his h-index is 46. He has attended a number of national and international conferences and presented several research papers. He is on the Editorial Board of several Journals of Mathematics. He is also a reviewer of various journals. He is on the Clarivate Analytics list of highly cited researchers in 2020. He won the Bertram Ross Award in Testimony of the High Regard of Achievements in the area of Fractional Calculus and its Applications in the First International Conference on Modern Fractional Calculus and Its Applications at Biruni University, Istanbul, Turkey, December 4-6, 2020.
