University of Mohaghegh ArdabiliJournal of Hyperstructures2251-84363220141201A note on properties of hypermetric spaces89100257610.22098/jhs.2014.2576ENM.AlimohammadyDepartment of Mathematics, University of Mazandaran, P.O.Box 47416-1468, Babolsar, IranS.JafariDepartment of Statistics, College of Vestsjaelland South, Herrestraede 11, 4200 Slagelse,
DenmarkS.MoshokoaDepartment of Statistics, University of South Africa, P. O . Box 392 Pretoria, South
AfricaM.Koozehgar KallejiDepartment of Mathematics, University of Mazandaran, P.O.Box 47416-1468, Babolsar, IranJournal Article20141018The note studies further properties and results of analysis in the setting of hypermetric spaces. Among others, we present some results concerning the hyper uniform limit of a sequence of continuous functions, the hypermetric identification theorem and the metrization problem for hypermetric space.https://jhs.uma.ac.ir/article_2576_764e246fee039a91bd3d19ad94498f6f.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84363220141201Upper bounds and attached primes of top local cohomology modules defined by a pair of ideals101107257910.22098/jhs.2014.2579ENSh.PayroviDepartment of Mathematics, Imam Khomeini International University , P.O.Box
34149-1-6818, Qazvin, IranS.KarimFaculty of Science, Payame Noor University, Tehran, Iran.Journal Article20140406Throughout R is a Noetherian local ring. In this paper we study cohomological dimension of an R-module M with respect to a pair of ideals and some of its relations with the attached prime ideals of M and the cohomological dimension of M with respect to an ideal. Furthermore, we generalize some results of [5] in particular, Theorem 2.8.https://jhs.uma.ac.ir/article_2579_9a5f190aff1061d857d4f3f1355941ce.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84363220141201Notes on reduced, artinian and multiplication modules108115258210.22098/jhs.2014.2582ENJafarA’zamiDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, P.O.Box 56199-11367, Ardabil, Iran.MahdiehSavaediDepartment of Mathematics, Sosangerd Branch, Islamic Azad University , Sosangerd,
Iran.Journal Article20140504Let M be a unitary module over a commutative ring R with identity. In this paper we consider the concepts of Artinian, semi-Artinian, reduced and multiplication modules . Also we call an R-module M radical, if it has no maximal submodule. By P(M) we denote the sum of the radical submodules of M and we show that P(M/(P(M)) = 0.https://jhs.uma.ac.ir/article_2582_d406fce34e2f6fa4b8ce0aaaaa4a3b69.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84363220141201Analytical approximation solution of a mathematical modeling of reaction-diffusion brusselator system by reduced differential transform method116125258510.22098/jhs.2014.2585ENA.TaghaviDepartment of Mathematics, University of Mazandaran, P.O.Box 47416-95447, Babolsar, IranA.BabaeiDepartment of Mathematics, University of Mazandaran, P.O.Box 47416-95447, Babolsar, IranA.MohammadpourDepartment of Mathematics, Babol branch Islamic Azad University , P.O.Box 47471-
37381, Babol, IranJournal Article20140819In this paper an approximate analytical solution of a mathematical modeling of reaction-diffusion Brusselator system with fractional time derivative will be obtained with the help of the reduced differential transform method. Fractional reactiondiffusion Brusselator system is used for modeling of certain chemical reaction-diffusion processes. The fractional derivatives are described in the Caputo sense. It is indicated that the solutions obtained by the reduced differential transform method are reliable and present an effective method for strongly nonlinear partial equations. https://jhs.uma.ac.ir/article_2585_c79b6187acaf9d8ec0a8a01170b6d74d.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84363220141201A study on existence and global asymptotical mittag-leffler stability of fractional black-scholes european option pricing equation126138258610.22098/jhs.2014.2586ENKhosroSayevandFaculty of Mathematical Sciences, University of Malayer, P. O. Box 65718-18164, Malayer,
IranJournal Article20140603In this paper, the application of asymptotic expansion method on fractional perturbated equations are studied. Furthermore, the proposed scheme is employed to obtain an analytical solution of fractional BlackScholes equation for a European option pricing problem. Finally, the asymptotical Mittag-Leffler stability of this problem will be discussed.https://jhs.uma.ac.ir/article_2586_6a57105ba1a346b2ca6d76f873152921.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84363220141201Numerical solution of some class of integro-differential equations by using legendre-bernstein basis139154258710.22098/jhs.2014.2587ENSasanFathiDepartment of Mathematics, Faculty of Science, Malayer University, Malayer, 65719-
95863, Iran.F.MirzaeeDepartment of Mathematics, Faculty of Science, Malayer University, Malayer, 65719-
95863, Iran.Journal Article20130814In this article, a numerical method is developed to solve the linear integro-differential equations. To this end, it will be divided in two forms, Fredholm integro-differential equations (FIDE) and Volterra integro-differential equations (VIDE). So that, the kernel and other known functions have been approximated using the least-squares approximation schemes based on LegenderBernstein basis. The Legender polynomials are orthogonal and this property improve the accuracy of the approximations. Also the unknown function and its derivatives have been approximated by using the Bernstein basis. The useful properties of Bernstein polynomials help us to transform integro-differential equations to solve a system of linear algebraic equations. Of course, the solution way of (FIDE) case is different from (VIDE).https://jhs.uma.ac.ir/article_2587_7de88670ec2968e21cdd897bf95c8806.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84363220141201Pricing formula for exchange option in fractional black-scholes model with jumps155164258810.22098/jhs.2014.2588ENKyong-HuiKimFaculty of Mathematics, University of Kim Il Sung University, Pyongyang, D.P.R.
KoreaMyong-GukSinFaculty of Mathematics, University of Kim Il Sung University, Pyongyang, D.P.R.
KoreaUn-HuaChongFaculty of Mathematics, University of Kim Il Sung University, Pyongyang, D.P.R.
KoreaJournal Article20140425In this paper pricing formula for exchange option in a fractional Black-Scholes model with jumps is derived. We found out some errors in proof of pricing formula for European call option [7]. At first we revise these errors and then extend this result to pricing formula for exchange option in fractional Black-Scholes model with jumps.https://jhs.uma.ac.ir/article_2588_8c885e9d7e317cb3b14f3bab69f03369.pdf