Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Tasbozan Orkun"'
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 5, Iss 1, Pp 447-454 (2020)
The main purpose of this article is to obtain the new solutions of fractional bad and good modified Boussinesq equations with the aid of auxiliary equation method, which can be considered as a model of shallow water waves. By using the conformable wa
Externí odkaz:
https://doaj.org/article/49a9fadf2d6f4eb19602b987fb203b52
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 5, Iss 1, Pp 455-460 (2020)
This paper proposes obtaining the new wave solutions of time fractional sixth order nonlinear Equation (KdV6) using sub-equation method where the fractional derivatives are considered in conformable sense. Conformable derivative is an understandable
Externí odkaz:
https://doaj.org/article/6477f5a65ca440e3a1ed67c092c195d5
Autor:
Tasbozan Orkun, Esen Alaattin
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 57, Iss 2, Pp 131-144 (2019)
In this study, we investigate numerical solutions of the fractional telegraph equation with the aid of cubic B-spline collocation method. The fractional derivatives have been considered in the Caputo forms. The L1and L2 formulae are used to discretiz
Externí odkaz:
https://doaj.org/article/175309c59fe44fb1ba957eafa80ee4cc
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 4, Iss 2, Pp 523-534 (2019)
In this article, we attain new analytical solution sets for nonlinear time-fractional coupled Burgers’ equations which arise in polydispersive sedimentation in shallow water waves using exp-function method. Then we apply a semi-analytical method na
Externí odkaz:
https://doaj.org/article/54eba82720ce4e79b66398a462070d00
Autor:
Kurt Ali, Tasbozan Orkun
Publikováno v:
Annales Mathematicae Silesianae, Vol 33, Iss 1, Pp 159-167 (2019)
In this paper the authors aspire to obtain the approximate analytical solution of Modified Burgers Equation with newly defined conformable derivative by employing homotopy analysis method (HAM).
Externí odkaz:
https://doaj.org/article/03a5642a5a6b4f7696fb5caf27914231
Publikováno v:
Open Physics, Vol 15, Iss 1, Pp 647-651 (2017)
Modelling of physical systems mathematically, produces nonlinear evolution equations. Most of the physical systems in nature are intrinsically nonlinear, therefore modelling such systems mathematically leads us to nonlinear evolution equations. The a
Externí odkaz:
https://doaj.org/article/99eaeba8250e4fbd803a6a7d3032f488
Publikováno v:
Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 55, Iss 1, Pp 37-50 (2017)
In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure. Tanh method wi
Externí odkaz:
https://doaj.org/article/dd3a379b9cae4673ba55283ce18fc451
Publikováno v:
Open Physics, Vol 13, Iss 1 (2015)
Firstly in this article, the exact solution of a time fractional Burgers’ equation, where the derivative is conformable fractional derivative, with dirichlet and initial conditions is found byHopf-Cole transform. Thereafter the approximate analytic
Externí odkaz:
https://doaj.org/article/4f08bed7fb66494d9fc1676d1bb21e34
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