A comprehensive review article on fractional models involving ecology and eco-epidemiology

Sanjukta Pramanik; Krishna Pada Das; Partha Karmakar; Seema Sarkar Mondal

doi:10.59400/jam.v1i4.236

A comprehensive review article on fractional models involving ecology and eco-epidemiology

Sanjukta Pramanik Department of Mathematics, Chakdaha College, Chakdaha, West Bengal, Pin 741222, India
Krishna Pada Das Department of Mathematics, Mahadevanada Mahavidyalaya, Monirampore, P.O. Barrackpore, Kolkata 700120, India
Partha Karmakar West Bengal Board of Primary Education, Salt Lake City, Kolkata 700091, India
Seema Sarkar Mondal Department of Mathematics, National Institute of Technology Durgapur, Durgapur, West Bengal 713209, India

Ariticle ID: 236

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DOI: https://doi.org/10.59400/jam.v1i4.236

Keywords: Caputo fractional derivative; Mittag-Leffler function; paradox of enrichment; Feigenbaums constants; generalized Hyers-Ulam stability

Abstract

This paper deals with the various definitions involved in the very old yet novel topic called fractional calculus. This survey intends to report some of the major works carried out in the arena of fractional calculus that took place since 2010. Fractional calculus is a prominent topic for research within the discipline of applied mathematics doe to its usefulness in solving problems in several different branches of science, engineering, medicine, finance, economics and the likes. With the various definitions involved in this field, we explore the various models taken into consideration to study the effect and impact of fractional calculus to understand how the dynamics of such models change.

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Published

2023-12-25

How to Cite

Pramanik, S., Das, K. P., Karmakar, P., & Sarkar Mondal, S. (2023). A comprehensive review article on fractional models involving ecology and eco-epidemiology. Journal of AppliedMath, 1(4), 236. https://doi.org/10.59400/jam.v1i4.236

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