Homotopy Perturbation Method and Aboodh Transform for Solving Nonlinear Partial Differential Equations
Khalid
Aboodh
Department of Mathematics Omdurman Islamic University (http: //www. fst. oiu. edu. sd) sudan
author
text
article
1395
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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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
1395
1
12
http://msj.iau-arak.ac.ir/article_529131_b757da9ffa95c97e4e4977d9ce9c9590.pdf
Bifurcation Problem for Biharmonic
Asymptotically Linear Elliptic Equations
Makkia
Dammak
University of Tunis El Manar, Higher Institute of Medical Technologies of Tunis
09 doctor Zouhair Essafi Street 1006 Tunis,Tunisia
author
Majdi
El Ghord
University of Tunis El Manar, Faculty of Sciences of Tunis, Campus Universities 2092 Tunis, Tunisia
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text
article
1395
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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 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_{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 the first eigenvalue associated to the problem.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
1395
13
37
http://msj.iau-arak.ac.ir/article_529132_71be66b10362d68bd18d51a9dc7dd2bb.pdf
A Numerical Approach for Solving Forth
Order Fuzzy Differential Equations Under
Generalized Differentiability
E.
Ahmadi
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad
University, Tehran, Iran
author
N.
Ahmadi
Department of Mathematics, Varamin-Pishva Branch, Islamic Azad
University, Varamin, Iran
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text
article
1395
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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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
1395
39
56
http://msj.iau-arak.ac.ir/article_529142_f609ed287ae23bb8968d574ca5e49d60.pdf
Higher Derivations Associated with the
Cauchy-Jensen Type Mapping
Hamidreza
Reisi
Department of Mathematics, Semnan University, Semnan, Iran
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text
article
1395
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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,R\in K(H).
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
1395
57
68
http://msj.iau-arak.ac.ir/article_529143_6fc2ce6a8f235e526591b2883a5ab7cd.pdf
ω_0-Nearest Points and ω_0-Farthest Point in Normed Linear Spaces
Hamid
Mazaheri
Faculty of Mathematics, Yazd University, Yazd, Iran
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text
article
1395
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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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
1395
69
79
http://msj.iau-arak.ac.ir/article_529148_d8229eff154d61a2524d5023b7d82161.pdf
The Study Properties of Subclass of Starlike
Functions
Mohammad
Taati
Department of Mathematics, Payame Noor University, P.O.Box
19395-3697, Tehran, Iran.
author
text
article
2022
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
2022
81
86
http://msj.iau-arak.ac.ir/article_529149_492a9c8e730b5f6cb92ea5191d15548d.pdf
Elliptic Function Solutions of
(2+1)-Dimensional Breaking Soliton
Equation by Sinh-Cosh Method and
Sinh-Gordon Expansion Method
Parvaneh
Nabipourkisomi
Department of Mathematics. Faculty of Mathematics, Ghiasodin Jamshid
Kashani institute of Higher Education, Abyek, Qazvin, Iran.
author
text
article
2022
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
2022
87
98
http://msj.iau-arak.ac.ir/article_529150_1a09bff799c2e81f4b479e09018d95f0.pdf
Analytic Solution of Fuzzy Second Order
Differential Equations under H-Derivation
Laleh
Hooshangian
Department of Mathematics, Dezful Branch, Islamic Azad University,
Dezful, Iran.
author
text
article
2022
per
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
11
v.
1
no.
2022
99
115
http://msj.iau-arak.ac.ir/article_531008_f5db59fa0f25e21f608b49598cbc39c4.pdf