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Browsing Fakülteler / Faculties by Author "Şenol, Mehmet"

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A variety of wave amplitudes for the conformable fractional (2 + 1)-dimensional Ito equation

Az-Zo’bi, Emad A.; Alzoubi, Wael A.; Akinyemi, Lanre; Şenol, Mehmet; Masaedeh, Basem S. (World Scientific, 2021-03-12)

The conformable derivative and adequate fractional complex transform are implemented to discuss the fractional higher-dimensional Ito equation analytically. The Jacobi elliptic function method and Riccati equation mapping ...
Abundant closed-form solitons for time-fractional integro–differential equation in fluid dynamics

Az-Zo’bi, Emad A.; Alzoubi, Wael A.; Akinyemi, Lanre; Şenol, Mehmet; Alsaraireh, Islam W.; Mamat, Mustafa (Springer, 2021-02-16)

In this paper, with the aid of the Mathematica package, several classes of exact analytical solutions for the time-fractional (2 + 1)-dimensional Ito equation are obtained. To analytically tackle the above equation, the ...
Approximate and generalized solutions of conformable type coudrey–dodd–gibbon–sawada–kotera equation

Şenol, Mehmet; Akinyemi, Lanre; Ata, Ayşe; Iyiola, Olaniyi S. (World Scientific, 2020-12-17)

In this study, we consider conformable type Coudrey{Dodd{Gibbon{Sawada{Kotera (CDGSK) equation. Three powerful analytical methods are employed to obtain gener- alized solutions of the nonlinear equation of interest. ...
Comparison of two reliable methods to solve fractional Rosenau-Hyman equation

Şenol, Mehmet; Taşbozan, Orkun; Kurt, Ali (Wiley, 2021-07-15)

In this study, we examine the numerical solutions of the time-fractionalRosenau-Hyman equation, which is a KdV-like model. This model demonstratesthe formation of patterns in liquid drops. For this purpose, two reliable ...
Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method

Akinyemi, Lanre; Şenol, Mehmet; Iyiola, Olaniyi S. (Elsevier, 2020-10-31)

In this paper, our focus is on the multidimensional mathematical physics models. We employ the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear time-fractional differential equations ...
New analytical solutions of fractional symmetric regularized-long-wave equation

Şenol, Mehmet (Universidad Nacional Autonoma de Mexico, 2020-05-01)

In this study, the new extended direct algebraic method (NEDAM) is successfully implemented to acquire new exact wave solution sets for the symmetric regularized-long-wave (SRLW) equation which arises in long water flow ...
Optical solitons for weakly nonlocal Schr¨odinger equation with parabolic law nonlinearity and external potential

Akinyemi, Lanre; Şenol, Mehmet; Mirzazadeh, Mohammad; Eslami, Mostafa (Elsevier, 2021-03-01)

This study discusses the soliton and other solutions for a weakly nonlocal Schr¨odinger equation of the fifth order involving nonlinearity of the parabolic law and an external potential. We use solitary wave ansatz of ...