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[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 …
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 …
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
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 …
Atangana, Baleanu and Caputo (ABC) fractional order derivative. Our study is related to …
Cancer treatment model with the Caputo-Fabrizio fractional derivative
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 …
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
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 …
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 …
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
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 …
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 …
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 …
nonlinear Schrodinger equations into the ordinary differential equations. Then by using the …
An efficient numerical algorithm for the fractional Drinfeld–Sokolov–Wilson equation
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 …
based on the mixture of homotopy analysis technique, Sumudu transform approach and …