Yücel Çenesiz
Selçuk University
Fourier transformDerivativeAdomian decomposition methodBurgers' equationChebyshev polynomialsMathematical analysisKorteweg–de Vries equationCauchy problemFractional calculusNonlinear systemVariety (universal algebra)Homotopy analysis methodHeat equationApplied mathematicsMathematicsMathematical physicsJacobi polynomialsCauchy distributionGegenbauer polynomialsConformable matrixPartial differential equation
19Publications
12H-index
481Citations
Publications 18
Newest
#1Orkun Tasbozan (Mustafa Kemal University)H-Index: 15
#2Yücel Çenesiz (Selçuk University)H-Index: 12
Last. Dumitru Baleanu (Çankaya University)H-Index: 100
view all 4 authors...
23 CitationsSource
12 CitationsSource
#1Yücel Çenesiz (Selçuk University)H-Index: 12
#2Ali Kurt (Mustafa Kemal University)H-Index: 15
Last. Erkan Nane (AU: Auburn University)H-Index: 19
view all 3 authors...
In this paper we give stochastic solutions of conformable fractional Cauchy problems. The stochastic solutions are obtained by running the processes corresponding to Cauchy problems with nonlinear deterministic clocks.
23 CitationsSource
#1Yücel ÇenesizH-Index: 12
#2Orkun TasbozanH-Index: 15
Last. Ali KurtH-Index: 15
view all 3 authors...
Modeling the motion and propagation characteristics of waves have importance in coastal, ocean and maritime engineering. Especially, waves are the major source of environmental actions on beaches or on man-made fixed or floating structures in most geographical areas. So Maccari system has great application in mentioned areas. The modified KdV is ion acoustic perturbations evolution model in a plasma with two negative ion components which have different temperatures. As for the KdV equation, the ...
26 CitationsSource
#1Yücel Çenesiz (Selçuk University)H-Index: 12
#2Dumitru Baleanu (Çankaya University)H-Index: 100
Last. Orkun Tasbozan (Mustafa Kemal University)H-Index: 15
view all 4 authors...
In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers’ equation, modified Burgers’ equation, and Burgers–Korteweg–de Vries equation. We report that this method is efficient and it can be successfully used to obtain new analytical solutions of nonlinear FDEs.
134 CitationsSource
#1Olaniyi S. Iyiola (UWM: University of Wisconsin–Milwaukee)H-Index: 18
#2Orkun Tasbozan (Mustafa Kemal University)H-Index: 15
Last. Yücel Çenesiz (Selçuk University)H-Index: 12
view all 4 authors...
Abstract In this paper, we consider the system of conformable time-fractional Robertson equations with one-dimensional diffusion having widely varying diffusion coefficients. Due to the mismatched nature of the initial and boundary conditions associated with Robertson equation, there are spurious oscillations appearing in many computational algorithms. Our goal is to obtain an approximate solutions of this system of equations using the q-homotopy analysis method (q-HAM) and examine the widely va...
38 CitationsSource
19 CitationsSource
In this paper, we use Hopf-Cole transform to solve conformable Burgers’ equation. After applying Hopf-Cole transform to conformable Burgers’ equation, we achieve conformable heat equation. Subsequently by using Fourier transform we have the exact solution of conformable Burgers’ equation with fractional order
1 Citations
#1Ali Kurt (Mustafa Kemal University)H-Index: 15
#2Orkun Tasbozan (Mustafa Kemal University)H-Index: 15
Last. Yücel Çenesiz (Selçuk University)H-Index: 12
view all 3 authors...
18 CitationsSource
#1Orkun Tasbozan (Mustafa Kemal University)H-Index: 15
#2Yücel Çenesiz (Selçuk University)H-Index: 12
Last. Ali Kurt (Mustafa Kemal University)H-Index: 15
view all 3 authors...
In this paper, the Jacobi elliptic function expansion method is proposed for the first time to construct the exact solutions of the time conformable fractional two-dimensional Boussinesq equation and the combined KdV-mKdV equation. New exact solutions are found. This method is based on Jacobi elliptic functions. The results obtained confirm that the proposed method is an efficient technique for analytic treatment of a wide variety of nonlinear conformable time-fractional partial differential equ...
47 CitationsSource