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
