Yazar "Şen, Erdoğan" için Fakülteler listeleme
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Existence and uniqueness of positive and nondecreasing solutions for a class of fractional boundary value problems involving the p-Laplacian operator
Araci, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet; Srivastava, Hari M. (Springeropen, 2015)In this article, we investigate the existence of a solution arising from the following fractional q-difference boundary value problem by using the p-Laplacian operator: D-q(gamma)(phi(p)(D(q)(delta)y(t))) + f(t,y(t)) = 0 ... -
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. ... -
A New Approach to Multivariate q-Euler Polynomials Using the Umbral Calculus
Araci, Serkan; Kong, Xiangxing; Açıkgöz, Mehmet; Şen, Erdoğan (Univ Waterloo, 2014)We derive numerous identities for multivariate q- Euler polynomials by using the umbral calculus. -
A Note on Second Order Differential Equation with Retarded Argument
Şen, Erdoğan (Amer Inst Physics, 2011)In the theory of differential equations with retarded argument many theorems are proved by using inequalities. In this work, an important inequality for second order differential equation with retarded argument is obtained ... -
A note on the modified q-Dedekind sums
Araci, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet (Bulgarian Acad Science, 2013)In the present paper, the fundamental aim is to consider a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order Extended Dedekind-type sums related to q-Genocchi polynomials with ... -
On a Discontinuous Sturm - Liouville Type Problem with Retarded Argument
Şen, Erdoğan; Bayramov, Azad (Amer Inst Physics, 2011)In this work a discontinuous boundary-value problem with retarded argument which contains spectral parameters in the boundary conditions and with transmission conditions at the point of discontinuity are investigated. We ... -
On a p-ADIC interpolating function for the generalized genocchi numbers and its behaviour at s = 0
Araci, Serkan; Şen, Erdoğan (Charles Babbage Res Ctr, 2015)In this work, we consider the generalized Genocchi numbers and polynomials. However, we introduce analytic interpolating function for the generalized Genocchi numbers attached to chi at negative integers in complex plane ... -
On a Sturm-Liouville type problem with retarded argument
Bayramov, Azad; Şen, Erdoğan (Wiley, 2013)In this work, a SturmLiouville-type problem with retarded argument, which contains spectral parameter in the boundary conditions and with transmission conditions at the point of discontinuity are investigated. We obtained ... -
On calculation of eigenvalues and eigenfunctions of a Sturm-Liouville type problem with retarded argument which contains a spectral parameter in the boundary condition
Şen, Erdoğan; Bayramov, Azad (Springer International Publishing Ag, 2011)In this study, a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinuity is investigated. We ... -
On Quartic Transformational High Dimensional Model Representation
Şen, Erdoğan (Amer Inst Physics, 2011)This work focuses on the development of a multivariate function approximating method by using quartic Transformational High Dimensional Model Representation (THDMR). The method uses the target function's image under a ... -
On spectral properties of a fourth-order boundary value problem
Şen, Erdoğan (Elsevier Science Bv, 2013)In this work, we study a fourthorder boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a suitable Hilbert ... -
On the extended Kim's p-adic q-deformed fermionic integrals in the p-adic integer ring
Araci, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Academic Press Inc Elsevier Science, 2013)The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Z(p). From those applications, we derive some new interesting properties on the new family of ... -
On the von Staudt-Clausen's theorem associated with q-Genocchi numbers
Araci, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Elsevier Science Inc, 2014)Recently, the von Staudt-Clausen's theorem for q-Euler numbers was introduced by Kim (2013) and q-Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt-Clausen's ... -
A regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuity
Şen, Erdoğan (Wiley, 2017)In this study, first, a formula for regularized sums of eigenvalues of a Sturm-Liouville problem with retarded argument at 2 points of discontinuity which contains a spectral parameter in the boundary conditions is obtained. ... -
The regularized trace formula for a differential operator with unbounded operator coefficient
Şen, Erdoğan; Bayramov, Azad; Oruçoğlu, Kamil (Jangjeon Mathematical Society, 2015)In this paper, firstly we investigated the spectrum and resolvent operator of a Sturm-Liouville type differential operator. Finally we have obtained the regularized trace formula for differential operator equation with ... -
A regularized trace formula for a discontinuous sturm-liouville operator with delayed argument
Bayramoğlu, Mehmet; Bayramov, Azad; Şen, Erdoğan (Texas State Univ, 2017)In this study, we obtain a formula for the regularized sums of eigenvalues for a Sturm-Liouville problem with delayed argument at two points of discontinuity. -
Regularized trace formula for higher order differential operators with unbounded coefficients
Şen, Erdoğan; Bayramov, Azad; Oruçoğlu, Kamil (Texas State University - San Marcos, 2016)In this work we obtain the regularized trace formula for an even-order differential operator with unbounded operator coefficient. © 2016 Texas State University. -
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 ...