Yazar "Aracı, Serkan" için Fen Edebiyat Fakültesi Koleksiyonu listeleme
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Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
Şen, Erdoğan; Seo, Jong Jin; Aracı, Serkan (Hindawi Ltd, 2013)In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the ... -
Asymptotic properties of a new Sturm-Liouville problem with retarded argument
Şen, Erdoğan; Aracı, Serkan; Açıkgöz, Mehmet (Wiley, 2014)In this work, we study the asymptotic properties of a new Sturm-Liouville problem with retarded argument. Contrary to previous works, differential equation includes eigenparameter as a quadratic function. In the considered ... -
A class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions
In this study, we investigate a Sturm-Liouville type problem with eigenparameter dependent boundary conditions and eigenparameter dependent transmission conditions. By establishing a new self-adjoint operator A associated ... -
Computation of eigenvalues and fundamental solutions of a fourth-order boundary value problem
Şen, Erdoğan; Aracı, Serkan (2012)In this work, we study a fourth-order boundary value problem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a ... -
Discontinuous two-point boundary value problems with eigenparameter in the boundary conditions
In the present paper, we deal with discontinuous two-point boundary value problems with eigenparameter in the boundary conditions with transmission conditions at the three points of discontinuities. We obtain asymptotic ... -
Existence and multiplicity of positive solutions for boundary-value problems of non-linear fractional differential equations
Aracı, Serkan; Şen, Erdoğan (Jangjeon Mathematical Society, 2014)The positive solutions under particular boundary circumstances arising from non-linear fractional differential equations were recently constructed [S. Zhang, Positive. Solutions for boundary-value problems of nonlinear ... -
Existence and Uniqueness of Positive Solutions of Boundary-Value Problems for Fractional Differential Equations with p-Laplacian Operator and Identities on the Some Special Polynomials
Şen, Erdoğan; Açıkgöz, Mehmet; Seo, Jong Jin; Aracı, Serkan; Oruçoğlu, Kamil (Hindawi Ltd, 2013)We consider the following boundary- value problem of nonlinear fractional differential equation with p-Laplacian operator D-0+(beta)(phi(p)(D(0+)(alpha)u(t))) + a(t)f(u) = 0, 0 < t < 1, u(0) = gamma u(h) + lambda, u'(0) = ... -
Identities involving some new special polynomials arising from the applications of fractional calculus
Aracı, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet; Oruçoğlu, Kamil (Natural Sciences Publishing Co., 2015)Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making ... -
Identities involving the (h, q)-Genocchi polynomials and (h,q)-zeta-type function
Bagdasaryan, A.; Şen, Erdoğan; He, Y.; Aracı, Serkan; Açıkgöz, Mehmet (Jangjeon Mathematical Society, 2014)The fundamental objective of this paper is to obtain some interesting properties for (h, q)-Genocchi numbers and polynomials by using the fermionic p-adic q-integral on ?p and mentioned in the paper q-Bernstein polynomials. ... -
Some new formulae for genocchi numbers and polynomials involving bernoulli and euler polynomials
Aracı, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Hindawi Publishing Corporation, 2014)We give some new formulae for product of two Genocchi polynomials including Euler polynomials and Bernoulli polynomials. Moreover, we derive some applications for Genocchi polynomials to study a matrix formulation. © 2014 ... -
Spectral Problem for the Sturm-Liouville Operator with Retarded Argument Containing a Spectral Parameter in the Boundary Condition
Şen, Erdoğan; Açıkgöz, Mehmet; Aracı, Serkan (Springer, 2017)We consider a discontinuous Sturm-Liouville problem with retarded argument containing a spectral parameter in the boundary condition. First, we investigate the simplicity of eigenvalues and then prove the existence theorem. ...