List of Articles

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  1 - On the convergence of the homotopy analysis method to solve the system of partial differential equations
  A. Fallahzadeh M. A. Fariborzi Araghi V. Fallahzadeh
  20.1001.1.22520201.2015.04.02.1.5
  One of the efficient and powerful schemes to solve linear and nonlinear equationsis homotopy analysis method (HAM). In this work, we obtain the approximate solution ofa system of partial differential equations (PDEs) by means of HAM. For this purpose, wedevelop the conc More

  One of the efficient and powerful schemes to solve linear and nonlinear equationsis homotopy analysis method (HAM). In this work, we obtain the approximate solution ofa system of partial differential equations (PDEs) by means of HAM. For this purpose, wedevelop the concept of HAM for a system of PDEs as a matrix form. Then, we prove theconvergence theorem and apply the proposed method to defined the approximate solution ofsome systems of PDEs. Also, we show the region of convergence by plotting the H-surface. Manuscript profile
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  2 - Stochastic averaging for SDEs with Hopf Drift and polynomial diffusion coefficients
  M. Alvand
  20.1001.1.22520201.2015.04.02.2.6
  It is known that a stochastic differential equation (SDE) induces two probabilisticobjects, namely a difusion process and a stochastic flow. While the diffusion process isdetermined by the infinitesimal mean and variance given by the coefficients of the SDE,this is not More

  It is known that a stochastic differential equation (SDE) induces two probabilisticobjects, namely a difusion process and a stochastic flow. While the diffusion process isdetermined by the infinitesimal mean and variance given by the coefficients of the SDE,this is not the case for the stochastic flow induced by the SDE. In order to characterize thestochastic flow uniquely the infinitesimal covariance given by the coefficients of the SDE isneeded in addition. The SDEs we consider here are obtained by a weak perturbation of a rigidrotation by random fields which are white in time. In order to obtain information about thestochastic flow induced by this kind of multiscale SDEs we use averaging for the infinitesimal covariance. The main result here is an explicit determination of the coefficients of the averagedSDE for the case that the diffusion coefficients of the initial SDE are polynomial. To do thiswe develop a complex version of Cholesky decomposition algorithm. Manuscript profile
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  3 - Second order linear differential equations with generalized trapezoidal intuitionistic Fuzzy boundary value
  S. P. Mondal T. K. Roy
  20.1001.1.22520201.2015.04.02.3.7
  In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficientis positive crisp number and coefficient is negative crisp number. Here fuzzy numbers ar More

  In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficientis positive crisp number and coefficient is negative crisp number. Here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (GTrIFNs). Further a numerical example is illustrated. Manuscript profile
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  4 - New characterizations of fusion bases and Riesz fusion bases in Hilbert spaces
  F. Aboutorabi Goudarzi M. S. Asgari
  20.1001.1.22520201.2015.04.02.4.8
  In this paper we investigate a new notion of bases in Hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introducea new definition of fusion dual sequence associated with a fusion basis and show that theoperators More

  In this paper we investigate a new notion of bases in Hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in Hilbert spaces. We also introducea new definition of fusion dual sequence associated with a fusion basis and show that theoperators of a fusion dual sequence are continuous projections. Next we define the fusionbiorthogonal sequence, Bessel fusion basis, Hilbert fusion basis and obtain some characterizations of them. we study orthonormal fusion systems and Riesz fusion bases for Hilbertspaces. we consider the stability of fusion bases under small perturbations. We also generalized a result of Paley-Wiener [16] to the situation of fusion basis. Manuscript profile
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  5 - On the boundedness of almost multipliers on certain Banach algebras
  E. Ansari-Piri M. Shams Yousefi S. Nouri
  20.1001.1.22520201.2015.04.02.5.9
  Almost multiplier is rather a new concept in the theory of almost functions. In thispaper we discussion the boundedness of almost multipliers on some special Banach algebras,namely stable algebras. We also define an adjoint and extension for almost multiplier.

  Almost multiplier is rather a new concept in the theory of almost functions. In thispaper we discussion the boundedness of almost multipliers on some special Banach algebras,namely stable algebras. We also define an adjoint and extension for almost multiplier. Manuscript profile
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  6 - s-Topological vector spaces
  M. Khan S. Azam S. Bosan
  20.1001.1.22520201.2015.04.02.6.0
  In this paper, we have defined and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are defined by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is prov More

  In this paper, we have defined and studied a generalized form of topological vectorspaces called s-topological vector spaces. s-topological vector spaces are defined by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is provedthat every s-topological vector space is generalized homogeneous space. Every open subspaceof an s-topological vector space is an s-topological vector space. A homomorphism betweens-topological vector spaces is semi-continuous if it is s-continuous at the identity. Manuscript profile
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  7 - On dual shearlet frames
  M. Amin khah A. Askari Hemmat R. Raisi Tousi
  20.1001.1.22520201.2015.04.02.7.1
  In This paper, we give a necessary condition for function in $L^2$with its dual togenerate a dual shearlet tight frame with respect to admissibility.

  In This paper, we give a necessary condition for function in $L^2$with its dual togenerate a dual shearlet tight frame with respect to admissibility. Manuscript profile