Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Bas, Erdal"'
In this paper, Newton's law of cooling is considered from a different perspective with newly defined fractional conformable. Obtained results are compared with experimental results and found optimal fractional orders which fit better with real data.
Externí odkaz:
http://arxiv.org/abs/1811.03696
Autor:
Ozarslan, Ramazan, Bas, Erdal
In this study, we give the Sturm comparison theorems for discrete fractional Sturm-Liouville (DFSL) equations within Riemann-Liouville and Gr\"unwald-Letnikov sense. The emergence of Sturm-Liouville equations began as one dimensional Schr\"odinger eq
Externí odkaz:
http://arxiv.org/abs/1802.04121
Autor:
Turk, Funda Metin, Bas, Erdal
In this study, the existence results of solution is given for fractional p-Laplacian Stum-Liouville problem for diffusion operator of order with impulsive conditions. The derivatives are described in Riemann-Liouville and Caputo sense. The Riemann-Li
Externí odkaz:
http://arxiv.org/abs/1802.04107
A New Approach for Higher Order Difference Equations and Eigenvalue problems via Physical Potentials
Autor:
Bas, Erdal, Ozarslan, Ramazan
Publikováno v:
Eur. Phys. J. Plus (2019) 134: 253
In this study, we give the variation of parameters method from a different viewpoint for the Nth order inhomogeneous linear ordinary difference equations with constant coefficient by means of delta exponential function . Advantage of this new approac
Externí odkaz:
http://arxiv.org/abs/1802.04101
Autor:
Bas, Erdal, Ozarslan, Ramazan
In this study, we define discrete fractional Sturm-Liouville (DFSL) operators within Riemann-Liouville and Gr\"unwald-Letnikov fractional operators with both delta and nabla operators. We show selfadjointness of the DFSL operator for the first time a
Externí odkaz:
http://arxiv.org/abs/1705.04123
Autor:
Bas, Erdal, Ozarslan, Ramazan
In this work, we introduce a new difference equation which is discrete analogue of Diffusion differential equation and analyze some essential spectral properties, Diffusion difference operator is self-adjoint, eigenvalues of this problem are simple a
Externí odkaz:
http://arxiv.org/abs/1703.10431
Autor:
Bas, Erdal, Ozarslan, Ramazan
Publikováno v:
Journal of Advanced Physics, Vol. 6, pp. 529--533, 2017
In this paper, we present a new approachment for Sturm-Liouville problem having special potentials. We acquire the representations of solutions and asymptotic formulas for solutions with regard to initial conditions. Also, a few applications are give
Externí odkaz:
http://arxiv.org/abs/1703.10700
Autor:
Bas, Erdal, Ozarslan, Ramazan
In this paper, Sturm-Liouville problem for difference equations is considered with potential function q(n). The representations of solutions are obtained by variation of parameters method. These solutions are proved, using summation by parts. Also, e
Externí odkaz:
http://arxiv.org/abs/1505.02181
Autor:
Bas, Erdal, Acay, Bahar
Publikováno v:
In Applied Mathematics and Computation 15 February 2020 367
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena January 2020 130