[HTML][HTML] On history of mathematical economics: Application of fractional calculus

VE Tarasov - Mathematics, 2019 - mdpi.com
Modern economics was born in the Marginal revolution and the Keynesian revolution. These
revolutions led to the emergence of fundamental concepts and methods in economic theory …

[PDF][PDF] Application of fractional differential equation in economic growth model: A systematic review approach

MD Johansyah, AK Supriatna, E Rusyaman, J Saputra - Aims Math, 2021 - aimspress.com
Application of fractional differential equation in economic growth model: A systematic review
approach Page 1 AIMS Mathematics, 6(9): 10266–10280. DOI: 10.3934/math.2021594 …

[HTML][HTML] Develo** a fuzzy logic-based carbon emission cost-incorporated inventory model with memory effects

R Pakhira, B Mondal, AA Thirthar, MA Alqudah… - Ain Shams Engineering …, 2024 - Elsevier
Inventory control is a widely discussed topic in the real world, and recently, it has become
closely linked to concerns about carbon emissions and global warming. Global warming is a …

Mathematical economics: application of fractional calculus

VE Tarasov - Mathematics, 2020 - mdpi.com
Mathematical economics is a theoretical and applied science in which economic objects,
processes, and phenomena are described by using mathematically formalized language. In …

On the fractional SIRD mathematical model and control for the transmission of COVID-19: the first and the second waves of the disease in Iran and Japan

H Mohammadi, S Rezapour, A Jajarmi - ISA transactions, 2022 - Elsevier
In this paper, a fractional-order SIRD mathematical model is presented with Caputo
derivative for the transmission of COVID-19 between humans. We calculate the steady …

Artificial bee colony optimization-inspired synergetic study of fractional-order economic production quantity model

M Rahaman, SP Mondal, AA Shaikh, P Pramanik… - Soft Computing, 2020 - Springer
Inventory control is one of the most widely recognized issues in the reality. This investigation
manages the utilization of fractional derivatives and integration on an inventory control …

Arbitrary-order economic production quantity model with and without deterioration: generalized point of view

M Rahaman, SP Mondal, AA Shaikh… - Advances in Difference …, 2020 - Springer
The key objective of this paper is to study and discuss the application of fractional calculus
on an arbitrary-order inventory control problem. Using the concepts of fractional calculus …

Study of memory effect in an inventory model for deteriorating items with partial backlogging

R Pakhira, S Sarkar, U Ghosh - Computers & Industrial Engineering, 2020 - Elsevier
A generalization of the economic order quantity (EOQ) model is taken into account to study
the memory effect in the inventory model. Fractional calculus is one of the efficient medium …

Codimension one and two bifurcations of a discrete-time fractional-order SEIR measles epidemic model with constant vaccination

MAM Abdelaziz, AI Ismail, FA Abdullah… - Chaos, Solitons & …, 2020 - Elsevier
In this paper, a discrete-time SEIR measles epidemic model with fractional-order and
constant vaccination is investigated. The basic reproduction number with an algebraic …

[PDF][PDF] Study of memory effect in an inventory model with quadratic type demand rate and salvage value

R Pakhira, U Ghosh, S Sarkar - Applied Mathematical Sciences, 2019 - m-hikari.com
Our purpose of the paper is to propose an inventory modelwith memory effect. Generally, in
deriving the solution of the classical inventory model, first order differential equation is …