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Your search keyword '"Baskonus, Haci Mehmet"' showing total 2 results
2 results on '"Baskonus, Haci Mehmet"'

1. Newly developed analytical method and its applications of some mathematical models.

Author

Yan, Li, Yel, Gulnur, Baskonus, Haci Mehmet, Bulut, Hasan, and Gao, Wei

Subjects
MATHEMATICAL models, SINE-Gordon equation, NONLINEAR dynamical systems, NONLINEAR differential equations, NONLINEAR waves
Abstract

This paper presents a newly developed method, namely, the rational sine-Gordon expansion method to find novel exact solutions to nonlinear differential equations. This method is based on the sine-Gordon expansion method. To generalize the approach, we utilize the ansatz, which is a rational function as different to a polynomial function. In this way, we have more general wave solutions for nonlinear dynamic systems. We apply this method to the (2 + 1)-dimensional conformable Zakharov–Kuznetsov modified equal width (ZK-MEW) equation and the modified regularized long wave (MRLW) equation. Some new solutions are reported. Consequently, we submit the new soliton solutions to the literature. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method.

Author

Ilhan, Esin, Veeresha, P., and Baskonus, Haci Mehmet

Subjects
*ATMOSPHERIC circulation, *ATMOSPHERIC models, *ATMOSPHERIC carbon dioxide, *GAS dynamics, *NONLINEAR differential equations, *MATHEMATICAL models
Abstract

In the present work, we find the series solution for the system of fractional differential equations describing the atmospheric dynamics of carbon dioxide (CO 2) gas using the q - homotopy analysis transform method (q -HATM). The analyzed model consists of a system of three nonlinear differential equations elucidating the dynamics of human population and forest biomass in the atmosphere to the concentration of CO 2 gas. In the current study, we consider Caputo-Fabrizio (CF) fractional operator and the considered scheme is graceful amalgamations of Laplace transform with q -homotopy analysis technique. To present and validate the effectiveness of the hired algorithm, we examined the considered system in terms of fractional order. The existence and uniqueness are demonstrated by using the fixed-point theory. The accomplished consequences illustrate that the considered scheme is highly methodical and very efficient in analyzing the nature of the system of arbitrary order differential equations in daily life. [ABSTRACT FROM AUTHOR]

Published
2021
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