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Toplam kayıt 10, listelenen: 1-10
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
(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) = ...
Asymptotic properties of a new Sturm-Liouville problem with retarded argument
(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 ...
Existence and multiplicity of positive solutions for boundary-value problems of non-linear fractional differential equations
(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 ...
Identities involving the (h, q)-Genocchi polynomials and (h,q)-zeta-type function
(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 class of sturm-liouville operators with eigenparameter dependent boundary and transmission conditions
(2013)
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 ...
Identities involving some new special polynomials arising from the applications of fractional calculus
(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 ...
Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
(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 ...
Discontinuous two-point boundary value problems with eigenparameter in the boundary conditions
(2013)
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 ...
Computation of eigenvalues and fundamental solutions of a fourth-order boundary value problem
(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 ...
Some new formulae for genocchi numbers and polynomials involving bernoulli and euler polynomials
(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 ...