[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 …

New numerical approach for fractional differential equations

A Atangana, KM Owolabi - Mathematical Modelling of Natural …, 2018 - mmnp-journal.org
In the present case, we propose the correct version of the fractional Adams-Bashforth
methods which take into account the nonlinearity of the kernels including the power law for …

Computational study on the dynamics of fractional order differential equations with applications

K Shah, M Arfan, A Ullah, Q Al-Mdallal, KJ Ansari… - Chaos, Solitons & …, 2022 - Elsevier
In this research work, the analysis of general fractional order system is investigated under
Atangana, Baleanu and Caputo (ABC) fractional order derivative. Our study is related to …

Cancer treatment model with the Caputo-Fabrizio fractional derivative

M Ali Dokuyucu, E Celik, H Bulut… - The European physical …, 2018 - Springer
In this article, a model for cancer treatment is examined. The model is integrated into the
Caputo-Fabrizio fractional derivative first, to examine the existence of the solution. Then, the …

New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives

P Veeresha, DG Prakasha… - Chaos: An Interdisciplinary …, 2019 - pubs.aip.org
In this paper, we apply the q-homotopy analysis transform method to the mathematical
model of the cancer chemotherapy effect in the sense of Caputo fractional. We find some …

Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation.

A Yokuş, S Gülbahar - Applied Mathematics & Nonlinear …, 2019 - search.ebscohost.com
In this study, numerical solutions of the fractional Harry Dym equation are investigated.
Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym …

Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative

MA Khan, Z Hammouch… - Mathematical Modelling of …, 2019 - mmnp-journal.org
A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever
inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics …

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 …

Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations

M Eslami - Applied Mathematics and Computation, 2016 - Elsevier
This paper applies new conformable fractional derivative for converting fractional coupled
nonlinear Schrodinger equations into the ordinary differential equations. Then by using the …

An efficient numerical algorithm for the fractional Drinfeld–Sokolov–Wilson equation

J Singh, D Kumar, D Baleanu, S Rathore - Applied Mathematics and …, 2018 - Elsevier
The fundamental purpose of the present paper is to apply an effective numerical algorithm
based on the mixture of homotopy analysis technique, Sumudu transform approach and …