Fractional Calculus in Medical and Health Science: 1st Edition (Hardback) book cover

Fractional Calculus in Medical and Health Science

1st Edition

Edited by Devendra Kumar, Jagdev Singh

CRC Press

232 pages | 74 B/W Illus.

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Hardback: 9780367351212
pub: 2020-07-14
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Description

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.

Table of Contents

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

About the Editors

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.

About the Series

Mathematics and its Applications

Modelling, Engineering, and Social Sciences

This series is intended for mathematicians, engineers, and other scientists in a broad sense, and aims to cover new developments and advances in mathematics, as well as it's applications related to industrial and manufacturing engineering, as well as Human Factors and Ergonomics. A special emphasis is on modelling, engineering, and social sciences. The series will include important classical topics of a pure and applied nature presented in an attractive style that can benefit students, researchers, and practitioners. The series will include research level monographs, edited volumes, papers arising from seminars or lecture series that will make up reference books, that will be edited and cohesive to fit the theme of the series.

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Subject Categories

BISAC Subject Codes/Headings:
BUS049000
BUSINESS & ECONOMICS / Operations Research
MAT005000
MATHEMATICS / Calculus
MAT007000
MATHEMATICS / Differential Equations
TEC009060
TECHNOLOGY & ENGINEERING / Industrial Engineering
TEC029000
TECHNOLOGY & ENGINEERING / Operations Research