University of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901On character projectivity Of Banach modules159169254410.22080/cjms.2020.17180.1428ENMajiedDehghanMathematics Department, Faculty of science, Urmia university, Urmia, IranSaeidOstadbashiMathematics Department, Faculty of science, Urmia university, Urmia, IranJournal Article20191012Let $A$ be a Banach algebra, $Omega(A)$ be the character space of $A$ and $alphainOmega(A)$. In this paper, we examine the characteristics of $alpha$-projective (injective) $A$-modules and demonstrate that these character-based $A$-modules also satisfy well-known classical homological properties on Banach $A$-modules.http://cjms.journals.umz.ac.ir/article_2544_6573f1829967b240ca73d6fa5e17086f.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901A short remark on the result of Jozsef Sandor170181255310.22080/cjms.2020.18233.1463ENYogesh J.BagulDepartment of Mathematics, K. K. M. College, Manwath, Dist: Parbhani(M. S.) - 431505, India0000-0002-8331-3920Journal Article20200206It is pointed out that, one of the results in the recently published article, ’On the Iyengar-Madhava Rao-Nanjundiah inequality and it’s hyperbolic version’ [3] by J´ozsef S´andor is logically incorrect and new corrected result with it’s proof is presented.http://cjms.journals.umz.ac.ir/article_2553_93268c495dca8acb4b106bf3b0b5858f.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Composition operators between growth spaces on circular and strictly convex domains in complex Banach spaces182190253710.22080/cjms.2020.15630.1370ENShayestehRezaeiAligudarz Branch, Islamic Azad University0000-0002-4522-971XMostafaHassanlouKhoy Faculty of Engineering, Urmia University, Urmia, IranJournal Article20190201Let $Omega_X$ be a bounded, circular and strictly convex domain in a complex Banach space $X$,<br /> and $mathcal{H}(Omega_X)$ be the space of all holomorphic functions from $Omega_X$ to $mathbb{C}$.<br /> The growth space $mathcal{A}^nu(Omega_X)$ consists of all $finmathcal{H}(Omega_X)$<br /> such that $$|f(x)|leqslant C nu(r_{Omega_X}(x)),quad xin Omega_X,$$<br /> for some constant $C>0$, whenever $r_{Omega_X}$ is the Minkowski<br /> functional on $Omega_X$ and $nu :[0,1)rightarrow(0,infty)$<br /> is a nondecreasing, continuous and unbounded function.<br /> For complex Banach spaces $X$ and $Y$<br /> and a holomorphic map $varphi:Omega_XrightarrowOmega_Y$, put<br /> $C_varphi( f)=fcirc varphi,finmathcal{H}(Omega_Y)$.<br /> We characterize those $varphi$ for which the composition operator<br /> $ C_varphi:mathcal{A}^{omega}(Omega_Y)rightarrowmathcal{A}^{nu}(Omega_X)$ is a bounded or compact operator.http://cjms.journals.umz.ac.ir/article_2537_c9ded4dd5e6db5f61e107941b25456b5.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Oplus-supplemented modules with respect to images of a fully invariant submodule191198254310.22080/cjms.2020.17771.1446ENAli RezaMoniri HamzekolaeeDepartment of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran0000-0002-2852-7870YahyaTalebi RostamiDepartment of Mathematics, Faculty of Mathematical Sciences, University of MazandaranZahraHeidariDepartment of Mathematics, Faculty of Mathematical Sciences, University of MazandaranJournal Article20191209Lifting modules and their various generalizations as some main concepts in module theory have been studied and investigated extensively in recent decades. Some authors tried to present some homological aspects of lifting modules and -supplemented modules. In this work, we shall present a homological approach to -supplemented modules via fully invariant submodules. Lifting modules and H-supplemented modules with respect to images of a xed fully invariant submodule of a module where investigated in rst author's last works. We intend here to introduce and study a module M such that '(F) has a supplement as a direct summand for every endomorphism ' of M where F is a xed fully invariant submodule of M.http://cjms.journals.umz.ac.ir/article_2543_1f1bbcf5ee2a3d619d6aebe665fabe61.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901On the stability of multi-m-Jensen mappings199209277710.22080/cjms.2020.17861.1451ENAbasaltBodaghiDepartment of Mathematics Garmsar Branchو Islamic Azad Universityو Garmsar, Iran0000-0003-0358-4518MohammadMaghsoudiDepartment of Mathematics, South Tehran Branch, Islamic Azad University, Tehran, IranJournal Article20191223In this article, we introduce the multi-$m$-Jensen mappings and characterize them as a single equation. Using a fixed point theorem, we study the generalized Hyers-Ulam stability for such mappings. As a consequence, we show that every multi-$m$-Jensen mappings (under some conditions) is hyperstable.http://cjms.journals.umz.ac.ir/article_2777_daa17915dac7f5d49ff9f1cc9f913160.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901An introduction to topological hyperrings210223275210.22080/cjms.2020.19029.1527ENMehdiNodehiDepartment of Pure Mathematics, Faculty of Basic Sciences, University of Bojnord,
Bojnord, IranMortezaNorouziDepartment of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran0000-0001-9850-1126Omid RezaDehghanDepartment of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran0000-0002-6036-0716Journal Article20200612In this paper, we define topological hyperrings and study their basic concepts which supported by illustrative examples. We show some differences between topological rings and topological hyperrings. Also, by the fundamental relation $Gamma^{*}$, we indicate the role of complete parts (saturated subsets) and complete hyperrings in topological hyperrings and specially we show that if every (closed) open subset is a complete part in a topological complete hyperring then its fundamental ring is a topological ring. Finally, we study the quotient topology induced by $Gamma^{*}$-relation on an associated Krasner hyperring obtained by a ring and show that it is isomorphic to a quotient space of the ring by its ideals.http://cjms.journals.umz.ac.ir/article_2752_e6aa9e1e1ce6f3314ffdad1bb07e4ff0.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential224242237810.22080/cjms.2019.17406.1432ENAnar AdiloğluNabievDepartment of Mathematics, Faculty of Sciences, Cumhuriyet University, 58140, Sivas, Turkey0000-0001-5602-5272Rauf KhAmirovDepartment of Mathematics, Faculty of Sciences, Cumhuriyet University, 58140, Sivas, TurkeyJournal Article20191022In the present work, under some di¤erentiability conditions on the potential functions , we rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructing of the potential functions of the equation in that case when there is no a discrete spectrumhttp://cjms.journals.umz.ac.ir/article_2378_07337e7254aec3dd9fd24db74a740d6f.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901High order quadrature based iterative method for approximating the solution of nonlinear equations243255293910.22080/cjms.2020.18818.1500ENOghoveseOgbereyivweMathematics Dept., Delta state poly. Ozoro, Delta State, NigeriaJournal Article20200517In this paper, weight function and composition technique is utilized to speeds up the convergence order and increase the efficiency of an existing quadrature based iterative method. This results in the proposition of its improved form from a two-point quadrature based method of convergence order ρ = 3 with efficiency index EI = 1:3161 to a three-point method of convergence order ρ = 8 with EI = 1:5157 at the cost of one additional function evaluation. The method is used to approximate the solution of some nonlinear equations and the results generated are compared with that of some existing methods. Numerical results shows that method developed herein is very efficient in approximation of solution of nonlinear equations.http://cjms.journals.umz.ac.ir/article_2939_b85c8ffc3caffabce3c6a72e6b66cd8e.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901On composition of generating functions256265293810.22080/cjms.2020.16411.1394ENGoubiMouloudDepartment of Mathematics, Faculty of Sciences, UMMTO University, AlgeriaJournal Article20190526In this work we study numbers and polynomials generated by two type of composition of generating functions and get their explicit formulae. Furthermore we state an improvement<br />of the composita formulae's given in [6] and [3], using the new composita formula's we construct a variety of combinatorics identities. This study go alone to dene new family of generalized Bernoulli polynomials which include Hermite-Bernoulli polynomials introduced by G. Dattoli and al [1].http://cjms.journals.umz.ac.ir/article_2938_24aeed4e43f6e2f8a1261068759d90d2.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Schwarz boundary problem on a triangle266283233910.22080/cjms.2019.17164.1420ENFatemehJoveiniDepartment of Pure Mathematics,
Faculty of Mathematical Sciences,
University of Guilan,
Rasht, IranMozhganAkbariDepartment of Pure Mathematics,
Faculty of Mathematical Sciences,
University of Guilan,
Rasht, IranJournal Article20190917In this paper, the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy-Riemann equation in a triangle is investigated explicitly. Firstly, by the technique of parquetingreflection and the Cauchy-Pompeiu representation formula a modified Cauchy-Schwarz representation formula is obtained. Then, the solution of the Schwarz BVP is explicitly solved. In particular, the boundary behaviors at the corner points are considered.http://cjms.journals.umz.ac.ir/article_2339_becdb6cabb9f76ddc81efe227108a93a.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Some geometrical properties of the oscillator group284293257710.22080/cjms.2020.17566.1441ENYadollahAryanejadDepartment of Mathematics, Payame noor University, P.O. Box
19395-3697, Tehran, Iran.0000-0002-0337-0600Journal Article20191109We consider the oscillator group equipped with a biinvariant Lorentzian metric. Some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. Left-invariant vector fields defining harmonic maps are also classified, and the energy of these vector fields is explicitly calculated.http://cjms.journals.umz.ac.ir/article_2577_3f06b6606250a474c0e919bde23e5a31.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Existence results for hybrid fractional differential equations with Hilfer fractional derivative294304242010.22080/cjms.2019.16038.1382ENO.BaghaniDepartment of Mathematics and Computer Sciences, Hakim Sabzevari University of Sabzevar, Sabzevar, Iran.D.VivekDepartment of Mathematics , Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.KKanagarajanDepartment of Mathematics \ Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, India.Journal Article20190418This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.http://cjms.journals.umz.ac.ir/article_2420_af4168c0d4e8c9b6433c2388d47cd7cc.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Cohomology of aff(1|1) acting on the space of bilinear differential operators on the superspace IR1|1305320254510.22080/cjms.2020.18235.1464ENImedBasdouriFaculty of sciences of GafsaAmmarDerbaliDepartement of Mathematics
Faculty of Sciences of Sfax, BP 802, Sfax 3038, TunisiaMohamed ElkhamesChrayguiFaculty Sciences of Sfax, BP 802, Sfax 3038, TunisiaJournal Article20200206We consider the aff(1)-module structure on the spaces of bilinear diﬀerential operators acting on the spaces of weighted densities. We compute the ﬁrst diﬀerential cohomology of the Lie superalgebra aff(1) with coeﬃcients in space Dλ,ν;µ of bilinear diﬀerential operators acting on weighted densities. We study also the super analogue of this problem getting the same results.http://cjms.journals.umz.ac.ir/article_2545_4db52b9ff88aeaadb42064c184c8b09c.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Application of Legendre operational matrix to solution of two dimensional nonlinear Volterra integro-differential equation321339236310.22080/cjms.2019.17199.1421ENAmirahmadKhajehnasiriDepartment of Mathematics, North Tehran Branch,
Islamic Azad University, Tehran, IranMostafaSafaviDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697 Tehran, IranJalalBanarDepartment of Mathematics, Firoozkooh Branch,\ Islamic Azad University, Firoozkooh, IranJournal Article20190923In this article, we apply the operational matrix to find the numerical solution of two- dimensional nonlinear Volterra integro-differential equation (2DNVIDE). Form this prospect, two-dimensional shifted Legendre functions (2DSLFs) has been presented for integration, product as well as differentiation. This method converts 2DNVIDE to an algebraic system of equations, so the numerical solution of 2DNVIDE is computable. The effectiveness and accuracy of the method were examined with some examples as well. The results and comparison with other methods have shown a remarkable performance.http://cjms.journals.umz.ac.ir/article_2363_d6b01a2a86c66511e9c2da1b40d3bdb5.pdfUniversity of MazandaranCaspian Journal of Mathematical Sciences (CJMS)peer2676-72609220200901Multi-step conformable fractional differential transform method for solving and stability of the conformable fractional differential systems340348296410.22080/cjms.2020.2964ENMostafaEslamiDepartment of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, IranHadiRezazadehFaculty of Engineering Technology, Amol University of Special
Modern Technologies, Amol, IranJournal Article20160609In this article, the multi-step conformable fractional differential transform method (MSCDTM) is applied to give approximate solutions of the conformable fractional-order differential systems. Moreover, we check the stability of conformable fractional-order L"{u} system with the MSCDTM to demonstrate the efficiency and effectiveness of the proposed procedure.http://cjms.journals.umz.ac.ir/article_2964_a573bcb5633f748f902ab5494b8a46ec.pdf