Theory of Approximation and Applications: 1 (1)

Open Access Article

1 - Homotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations
Khalid Aboodh

Here, a new method called Aboodh transform homotopy perturbation method(ATHPM) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and Aboodh transformto investigate some nonlinear partial dierentia More

Here, a new method called Aboodh transform homotopy perturbation method(ATHPM) is used to solve nonlinear partial dierential equations, we presenta reliable combination of homotopy perturbation method and Aboodh transformto investigate some nonlinear partial dierential equations. The nonlinearterms can be handled by the use of homotopy perturbation method. The resultsshow the eciency of this method. Aboodh transform was introducedby Khalid Aboodh to facilitate the process of solving ordinary and partialdifferential equations in the time domain. Manuscript profile

Open Access Article

2 - Bifurcation Problem for Biharmonic Asymptotically Linear Elliptic Equations
Makkia Dammak Majdi El Ghord

In this paper, we investigate the existence of positive solutions for the ellipticequation $\Delta^{2}\,u+c(x)u = \lambda f(u)$ on a bounded smooth domain $\Omega$ of $\R^{n}$, $n\geq2$, with Navierboundary conditions. We show that there exists an extremal parameter$\la More

In this paper, we investigate the existence of positive solutions for the ellipticequation $\Delta^{2}\,u+c(x)u = \lambda f(u)$ on a bounded smooth domain $\Omega$ of $\R^{n}$, $n\geq2$, with Navierboundary conditions. We show that there exists an extremal parameter$\lambda^{\ast}>0$ such that for $\lambda< \lambda^{\ast}$, the above problem has a regular solution butfor $\lambda> \lambda^{\ast}$, the problem has no solution even in the week sense.We also show that $\lambda^{\ast}=\frac{\lambda_{1}}{a}$ if$ \lim_{t\rightarrow \infty}f(t)-at=l\geq0$ and for $\lambda< \lambda^{\ast}$, the solution is unique but for $l<0$ and $\frac{\lambda_{1}}{a}<\lambda< \lambda^{\ast}$, the problem has two branches of solutions, where $\lambda_{1}$ is thefirst eigenvalue associated to the problem. Manuscript profile

Open Access Article

3 - A Numerical Approach for Solving Forth Order Fuzzy Differential Equations Under Generalized Differentiability
E. Ahmadi N. Ahmadi

In this paper a numerical method for solving forth order fuzzy dierentialequations under generalized differentiability is proposed. This method is basedon the interpolating a solution by piecewise polynomial of degree 8 in the rangeof solution . We investigate the exis More

In this paper a numerical method for solving forth order fuzzy dierentialequations under generalized differentiability is proposed. This method is basedon the interpolating a solution by piecewise polynomial of degree 8 in the rangeof solution . We investigate the existence and uniqueness of solutions. Finally anumerical example is presented to illustrate the accuracy of the new technique. Manuscript profile

Open Access Article

4 - Higher Derivations Associated with the Cauchy-Jensen Type Mapping
Hamidreza Reisi

Let H be aninfinite--dimensional Hilbert space and K(H) be the set of allcompact operators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher Jordan derivation on K(H) associated with the following cau More

Let H be aninfinite--dimensional Hilbert space and K(H) be the set of allcompact operators on H. We will adopt spectral theorem for compact self-adjoint operators, to investigate of higher derivation and higher Jordan derivation on K(H) associated with the following cauchy-Jencen type functional equation 2f(\frac{T+S}{2}+R)=f(T)+f(S)+2f(R) for all T,S,R\in K(H). Manuscript profile

Open Access Article

5 - w_0-Nearest Points and w_0-Farthest Point in Normed Linear Spaces
Hamid Mazaheri-Tehrani

w0-Nearest Points and w0-Farthest Point in Normed Linear Spaces

w0-Nearest Points and w0-Farthest Point in Normed Linear Spaces Manuscript profile

Open Access Article

6 - The Study Properties of Subclass of Starlike Functions
Mohammad Taati

In this paper we introduce and investigate a certain subclass of univalentfunctions which are analytic in the unit disk U.Such results as coecientinequalities. The results presented here would provide extensions of those givenin earlier works.

In this paper we introduce and investigate a certain subclass of univalentfunctions which are analytic in the unit disk U.Such results as coecientinequalities. The results presented here would provide extensions of those givenin earlier works. Manuscript profile

Open Access Article

7 - Elliptic Function Solutions of (2+1)-Dimensional Breaking Soliton Equation by Sinh-Cosh Method and Sinh-Gordon Expansion Method
Parvaneh Nabipoor Keisomi

In this paper, based on sinh-cosh method and sinh-Gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.These solutions include Jacobi elliptic function solution, soliton solution,trigonometric function solution.

In this paper, based on sinh-cosh method and sinh-Gordon expansion method,families of solutions of (2+1)-dimensional breaking soliton equation are obtained.These solutions include Jacobi elliptic function solution, soliton solution,trigonometric function solution. Manuscript profile

Open Access Article

8 - Analytic Solution of Fuzzy Second Order Differential Equations under H-Derivation
Laleh Hooshangian

In this paper, the solution of linear second order equations with fuzzy initialvalues are investigated. The analytic general solutions of them using a rstsolution is founded. The parametric form of fuzzy numbers to solve the secondorder equations is applied. The soluti More

In this paper, the solution of linear second order equations with fuzzy initialvalues are investigated. The analytic general solutions of them using a rstsolution is founded. The parametric form of fuzzy numbers to solve the secondorder equations is applied. The solutions are searched in four cases. Finallythe example is got to illustrate more and the solutions are shown in gures forfour cases. Manuscript profile

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