Fractional Calculus in Medical and Health Science

This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them. The mathematical results included in the book will be helpful to mathematicians and doctors by enabling them to explain real-life problems accurately. The book will also offer case studies of real-life situations with an emphasis on describing the mathematical results and showing how to apply the results to medical and health science, and at the same time highlighting modeling strategies. The book will be useful to graduate level students, educators and researchers interested in mathematics and medical science.

1. Image edge detection using fractional conformable derivatives in Liouville-Caputo sense for medical image processing J.E. Lavín-Delgado, J.E. Solís-Pérez, J.F. Gómez-Aguilar and R.F. Escobar-Jiménez 2. WHO child growth standards modelling by variable-, fractional-order difference equation Piotr Ostalczyk 3. Fractional Calculus Approach in SIRS-SI Model for Malaria Disease with Mittag-Leffler Law Jagdev Singh, Sunil Dutt Purohit and Devendra Kumar 4. Mathematical modelling and analysis of fractional epidemic models using derivative with exponential kernel Kolade M. Owolabi and Abdon Atangana 5. Fractional order mathematical model for cell cycle of tumour cell Ritu Agarwal, Kritika and S. D. Purohit 6. Fractional Order Model of Transmission Dynamics of HIV/AIDS with Effect of Weak CD4+ T-cells Ved Prakash Dubey, Rajnesh Kumar and Devendra Kumar 7. Fractional dynamics of HIV-AIDS and cryptosporidiosis with lognormal distribution M.A. Khan and Abdon Atangana 8. A Fractional Mathematical Model to Study the Effect of Buffer and Endoplasmic Reticulum on Cytosolic Calcium Concentration in Nerve Cells Brajesh Kumar Jha and Hardik Joshi 9. Fractional SIR epidemic model of childhood disease with Mittag-Leffler memory P. Veeresha, D. G. Prakasha and Devendra Kumar

Devendra Kumar is an Assistant Professor in the Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India. He did his Master of Science (M.Sc.) in Mathematics and Ph.D. in Mathematics from University of Rajasthan, India. He primarily teaches the subjects like real and complex analysis, functional analysis, integral equations and special functions in post-graduate level course in mathematics. His area of interest is Mathematical Modelling, Special Functions, Fractional Calculus, Applied Functional Analysis, Nonlinear Dynamics, Analytical and Numerical Methods. He has published two books: Engineering Mathematics-I (2008), Engineering Mathematics-II (2013). His works have been published in the Nonlinear Dynamics, Chaos Solutions & Fractals, Physical A, Journal of Computational and Nonlinear Dynamics, Applied Mathematical Modelling, Entropy, Advances in Nonlinear Analysis, Romanian Reports in Physics, Applied Mathematics and Computation, Chaos and several other peer-reviewed international journals. His 130 research papers have been published in various Journals of repute with h-index of 30. He has attained a number of National and International Conferences and presented several research papers. He has also attended Summer Courses, Short Terms Programs and Workshops. Jagdev Singh is an Associate Professor in the Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India. He did his Master of Science (M.Sc.) in Mathematics and Ph.D. in Mathematics from University of Rajasthan, India. He primarily teaches the subjects like mathematical modeling, real analysis, functional analysis, integral equations and special functions in post-graduate level course in mathematics. His area of interest is Mathematical Modelling, Mathematical Biology, Fluid Dynamics, Special Functions, Fractional Calculus, Applied Functional Analysis, Nonlinear Dynamics, Analytical and Numerical Methods. He has published three books: Advance Engineering Mathematics (2007), Engineering Mathematics-I (2008), Engineering Mathematics-II (2013). His works have been published in the Nonlinear Dynamics, Chaos Solutions & Fractals, Physica A, Journal of Computational and Nonlinear Dynamics, Applied Mathematical Modelling, Entropy, Advances in Nonlinear Analysis, Romanian Reports in Physics, Applied Mathematics and Computation, Chaos and several other peer-reviewed international journals. His 120 research papers have been published in various Journals of repute with h-index of 30. He has attained a number of National and International Conferences and presented several research papers. He has also attended Summer Courses, Short Terms Programs and Workshops.