منابع مشابه
A Comparison Result for the Fractional Difference Operator
In this paper, we deduce the Green’s function for a ν-th order, 1 < ν ≤ 2, discrete fractional boundary value problem with boundary conditions of the type αy(ν−2)−β∆y(ν−2) = 0, γy(ν+ b)+δ∆y(ν+ b) = 0, for α, β, γ, δ ≥ 0 and αγ+αδ+βγ 6= 0. This extends and generalizes the results of some recent papers. We then show that this Green’s function satisfies a positivity property. From this we deduce a...
متن کاملOn Some Fractional Systems of Difference Equations
This paper deal with the solutions of the systems of difference equations $$x_{n+1}=frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}pm y_{n-3}y_n pm y_nx_{n-2}}, ,y_{n+1}=frac{y_{n-2}x_{n-1}}{ 2y_{n-2}pm x_{n-1}},,nin mathbb{N}_{0},$$ where $mathbb{N}_{0}=mathbb{N}cup left{0right}$, and initial values $x_{-2},, x_{-1},,x_{0},,y_{-3},,y_{-2},,y_{-1},,y_{0}$ are non-zero real numbers.
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In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions...
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Making use of an extended fractional differintegral operator ( introduced recently by Patel and Mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.
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ژورنال
عنوان ژورنال: Alexandria Engineering Journal
سال: 2016
ISSN: 1110-0168
DOI: 10.1016/j.aej.2016.03.037