eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
1
12
529131
مقاله های تحقیقی
Homotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations
Homotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations
Khalid Aboodh
khalidmath78@yahoo.com
1
Department of Mathematics Omdurman Islamic University (http: //www. fst. oiu. edu. sd) sudan
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.
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 partialdierential equations in the time domain.
http://msj.iau-arak.ac.ir/article_529131_b757da9ffa95c97e4e4977d9ce9c9590.pdf
Aboodh transform
Homotopy perturbation method
Nonlinear partial differential equations
Aboodh transform
Homotopy perturbation method
Nonlinear partial differential equations
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
13
37
529132
مقاله های تحقیقی
Bifurcation Problem for Biharmonic Asymptotically Linear Elliptic Equations
Bifurcation Problem for Biharmonic
Asymptotically Linear Elliptic Equations
Makkia Dammak
makkia.dammak@gmail.com
1
Majdi El Ghord
2
University of Tunis El Manar, Higher Institute of Medical Technologies of Tunis 09 doctor Zouhair Essafi Street 1006 Tunis,Tunisia
University of Tunis El Manar, Faculty of Sciences of Tunis, Campus Universities 2092 Tunis, Tunisia
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 $R^{n}$, $ngeq2$, with Navier boundary 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_{trightarrow infty}f(t)-at=lgeq0$ and for $lambda< lambda^{ast}$, the solution is unique but for $l
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 $R^{n}$, $ngeq2$, with Navier boundary 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_{trightarrow infty}f(t)-at=lgeq0$ and for $lambda< lambda^{ast}$, the solution is unique but for $l
http://msj.iau-arak.ac.ir/article_529132_71be66b10362d68bd18d51a9dc7dd2bb.pdf
asymptotically linear
extremal solution
stable minimal solution
regularity
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
39
56
529142
مقاله های تحقیقی
A Numerical Approach for Solving Forth Order Fuzzy Differential Equations Under Generalized Differentiability
A Numerical Approach for Solving Forth
Order Fuzzy Differential Equations Under
Generalized Differentiability
E Ahmadi
e.ahmadi@qodsiau.ac.ir
1
N. Ahmadi
2
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran
ِDepartment of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran
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.
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.
http://msj.iau-arak.ac.ir/article_529142_f609ed287ae23bb8968d574ca5e49d60.pdf
Fuzzy dierential equations
Numerical Method
Generalized differentiability
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
57
68
529143
مقاله های تحقیقی
Higher Derivations Associated with the Cauchy-Jensen Type Mapping
Higher Derivations Associated with the
Cauchy-Jensen Type Mapping
حمیدرضا رییسی
hamidreza.reisi@gmail.com
1
دانشجوی دکتری دانشگاه سمنان
Let H be an infinite--dimensional Hilbert space and K(H) be the set of all compact 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,Rin K(H).
Let H be an infinite--dimensional Hilbert space and K(H) be the set of all compact 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,Rin K(H).
http://msj.iau-arak.ac.ir/article_529143_6fc2ce6a8f235e526591b2883a5ab7cd.pdf
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
69
79
529148
مقاله های تحقیقی
w_0-Nearest Points and w_0-Farthest Point in Normed Linear Spaces
ω_0-Nearest Points and ω_0-Farthest Point in Normed Linear Spaces
حمید مظاهری تهرانی
hmazaheri@yazd.ac.ir
1
دانشگاه یزد
w0-Nearest Points and w0-Farthest Point in Normed Linear Spaces
In this paper we obtain a necessary and a sufficient condition for the set of ω_0-nearest points ( ω_0-farthest points) to be non-empty or a singleton set in normed linear spaces. We shall find a necessary and a sufficient condition for an uniquely remotal set to be a singleton set.
http://msj.iau-arak.ac.ir/article_529148_d8229eff154d61a2524d5023b7d82161.pdf
Proximinal sets
Chebyshev sets
Farthest points
Uniquely remotal sets
Remotal sets
ω_0-Nearest point
ω_0-Farthest point
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
81
86
529149
مقاله های تحقیقی
The Study Properties of Subclass of Starlike Functions
The Study Properties of Subclass of Starlike
Functions
Mohammad Taati
m-taati@pnu.ac.ir
1
Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran.
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.
http://msj.iau-arak.ac.ir/article_529149_492a9c8e730b5f6cb92ea5191d15548d.pdf
Starlike function
Univalent functions
Hadamard product
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
87
98
529150
مقاله های تحقیقی
Elliptic Function Solutions of (2+1)-Dimensional Breaking Soliton Equation by Sinh-Cosh Method and Sinh-Gordon Expansion Method
Elliptic Function Solutions of
(2+1)-Dimensional Breaking Soliton
Equation by Sinh-Cosh Method and
Sinh-Gordon Expansion Method
پروانه نبی پور کیسمی
parvanehnabipour@yahoo.com
1
مدرس آموزشگاه
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.
http://msj.iau-arak.ac.ir/article_529150_1a09bff799c2e81f4b479e09018d95f0.pdf
sinh-cosh method
soliton
Jacobi elliptic function
sinh-Gordon expansion method
eng
Islamic Azad University
Theory of Approximation and Applications
2538-2217
2538-2217
2017-03-01
11
1
99
115
531008
مقاله های تحقیقی
Analytic Solution of Fuzzy Second Order Differential Equations under H-Derivation
Analytic Solution of Fuzzy Second Order
Differential Equations under H-Derivation
Laleh Hooshangian
l-hooshangian@yahoo.com
1
Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran.
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.
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.
http://msj.iau-arak.ac.ir/article_531008_f5db59fa0f25e21f608b49598cbc39c4.pdf
Second order equation
Fuzzy initial values
H-derivations
General solution