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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 ...
Kesirli diferansiyel denklemlerin doğuran çekirdekli hilbert uzayı metodu ile çözümleri

Ata, Ayşe; Şenol, Mehmet (Nevşehir Hacı Bektaş Veli Üniversitesi, 2022-06-01)

Bu tez yedi bölümden oluşmaktadır. Birinci bölümde, kesir mertebeli türev ve doğuran çekirdekli Hilbert uzayı metodu hakkında tarihsel gelişim ve literatür taraması verilmiştir. İkinci bölümde, tez çalışmasında kullanılacak ...
Kesirli kısmi diferansiyel denklemlerin nümerik çözümleri

Ata, Ayşe; Şenol, Mehmet (Nevşehir Hacı Bektaş Veli Üniversitesi, 2017-07)

Altı bölümden oluşan bu çalışmanın amacı, lineer ve lineer olmayan kesirli mertebeden kısmi diferansiyel denklemlerin ve denklem sistemlerinin yaklaşık çözümlerini Rezidual Kuvvet Serisi Metodu (RPSM) ile vermektir. Bu ...
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 ...