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Application Of Aboodh Transform For Solving First Order Constant Coefficients Complex Equation
In this work , we investigate the Aboodh transformation method to solve first order constant coefficients complex equations. This method provides an effective and efficient way of solving a wide range of linear operator equations.
On Some Fractional Hardy-Hilbert’s Integral Inequalities
We focus our attention in this article on some recent results regarding Hardy-Hilbert’s inequalities. We derive an equivalent form using katugampola Fractional Calculus and introduce new analogs to some Hardy-Hilbert’s type inequality. Several special cases are also given.
Sequence Spaces Defined by Fibonacci Matrix
In this paper, by using well known Fibonacci numbers, so far not described in the literature a new regular matrix F = (fnk) is defined and compared with well known matrix transformations. By using this new matrix, Fibonacci sequence space c0(F), c(F), l∞(F) and lp(F) (1 ≤ p < ∞) are ...
Regular Solution for the Generalized Relativistic Boltzmann Equation in Yang-Mills Field
We consider in this work the generalized relativistic Boltzmann equation in the presence of a Yang-Mills field in temporal gauge on a Bianchi type 1 space-time. Such an equation governs the evolution which collisions of plasmas, for instance of quarks and gluons (quagma), where non abelian Yang-Mills ...
Optimal Investment Policy in a Pension Fund System with Return Clause and Multiple Assets under Volatility Risks
The essence of this work is to study the optimal investment policy in a defined contribution pension scheme with return clause of contributions under volatility risks. In our model, the pension fund managers are mandated to return the accumulated contributions of members who die during the accumulation ...
Spectral Method for the Heat Equation with Axial Symmetry and a Source
In this paper, we present a spectral method for solving the heat equation in cylindrical coordinates in a case where the data are axisymmetric and independent of the z-coordinate at the same time. The spectral method considered is of GalerkintypewithaGauss-Radaunumericalquadratureformula, itisbasedonaweightedweakvariationalformulationofthe ...
An Accurate Approximate Solutions of Multipoint Boundary Value Problems
The main objective of this paper is to obtain a new accurate approximate solutions for a kind of ordinary differential equations called multipoint boundary value problems by using simple modification of optimal homotopy asymptotic method (OHAM). This procedure is a well-performance for calculating a better ...
Initial bounds for analytic and bi-univalent functions by means of (p,q)−Chebyshev polynomials defined by differential operator
In this paper, a subclassT ζ Σ (m,γ,λ,p,q) of analytic and bi-univalent functions by means of (p,q)−Chebyshev polynomials is introduced. Certain coefficient bounds for functions belong to this subclass are obtained. In addition, the Fekete-Szeg¨ o problem is solved in ...
A comparison between applications of the Lyapunov’s second (direct) method and fixed point theory
Inthisarticle,wewilldiscusstheapplicationoftheLyapunov’ssecondmethodandfixedpointtheoriestocertaindifferential equations of first and second order. First, we will introduce some basic information about these subjects, and later, we give their applications concerning some specific attitude of Solutions ...
Quaternion-valued functions in hyperholomorphic Fα G(p,q,s) spaces
The goal of this article is to define a new class of hyperholomorphic functions, the so called Fα G(p,q,s) Spaces. For this class, we study some its basic properties. Moreover, the relation which characterized Fα G(p,q,s) Spaces by spaces Bα are given.