en jalali 1401 1 1 gregorian 2022 4 1 17 1 online 1 fulltext

en Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and  we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$. Frame, K-operator frame, C^*-algebra, Hilbert C^*-modules. 1 9 http://ijmsi.ir/browse.php?a_code=A-10-2681-1&slc_lang=en&sid=1 2018/04/27 1397/2/7 2019/08/15 1398/5/24 M. Rossafi LaSMA Laboratory Department of Mathematics Faculty of Sciences, Dhar El Mahraz University Sidi Mohamed Ben Abdellah, B. P. 1796 Fes Atlas, Morocco rossafimohamed@gmail.com 0031947532846009209 0031947532846009209 Yes S. Kabbaj Laboratory of Partial Differential Equations, Spectral Algebra and Geometry Department of Mathematics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco samkabbaj@yahoo.fr 0031947532846009210 0031947532846009210 No

en In this paper we find all solutions of four kinds of the Diophantine equations begin{equation*} ~x^{2}pm V_{t}xy-y^{2}pm x=0text{ and}~x^{2}pm V_{t}xy-y^{2}pm y=0, end{equation*}% for an odd number $t$, and, begin{equation*} ~x^{2}pm V_{t}xy+y^{2}-x=0text{ and}text{ }x^{2}pm V_{t}xy+y^{2}-y=0, end{equation*}% for an even number $t$, where $V_{n}$ is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh. Linear recurrences, Generalized Fibonacci and Lucas sequences, Diophantine equations, Continued fractions. 11 26 http://ijmsi.ir/browse.php?a_code=A-10-3484-1&slc_lang=en&sid=1 2018/04/272018/05/7 1397/2/17 2019/08/152019/10/10 1398/7/18 I. Akkus Department of Mathematics, Faculty of Arts and Science, Kırıkkale University, TR-71450 Kırıkkale, Turkey iakkus.tr@gmail.com 0031947532846009211 0031947532846009211 Yes E. Kilic Department of Mathematics, TOBB University of Economics and Technology, TR-06560 Ankara, Turkey ekilic@etu.edu.tr 0031947532846009212 0031947532846009212 No N. Omur Department of Mathematics, Faculty of Arts and Science, Kocaeli University, TR-41380 Kocaeli, Turkey neseomur@kocaeli.edu.tr 0031947532846009213 0031947532846009213 No

en We introduce the notion of quasi-cyclic-noncyclic pair and its relevant new notion of coincidence quasi-best proximity points in a convex metric space. In this way we generalize the notion of coincidence-best proximity point already introduced by M. Gabeleh et al cite{Gabeleh}. It turns out that under some circumstances this new class of mappings contains the class of cyclic-noncyclic mappings as a subclass. The existence and convergence of coincidence-best and coincidence quasi-best proximity points in the setting of convex metric spaces are investigated. Coincidence-best proximity point, Cyclic-noncyclic contraction, Quasi-cyclic-noncyclic contraction, Uniformly convex metric space. 27 46 http://ijmsi.ir/browse.php?a_code=A-10-117-2&slc_lang=en&sid=1 2018/04/272018/05/72018/05/22 1397/3/1 2019/08/152019/10/102019/01/26 1397/11/6 A. Abkar Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran norouzian.m67@gmail.com 0031947532846009166 0031947532846009166 No M. Norouzian Department of Pure Mathemathics, Faculty of Science, Imam Khomeini International University, Qazvin 34149, Iran abkar@sci.ikiu.ac.ir 0031947532846009167 0031947532846009167 Yes

en In this paper, we study the decomposition of semirings with a semilattice additive reduct. For, we introduce the notion of principal left $k$-radicals $Lambda(a)={x in S | a stackrel{l}{longrightarrow^{infty}} x}$ induced by the transitive closure $stackrel{l}{longrightarrow^{infty}}$ of the relation $stackrel{l}{longrightarrow}$ which induce the equivalence relation $lambda$. Again non-transitivity of $stackrel{l}{longrightarrow}$ yields an expanding family {$stackrel{l}{longrightarrow^n}}$ of binary relations which associate subsets $Lambda_n(a)$ for all $a in S$, which again induces an equivalence relation $lambda_n$. We also define $lambda(lambda_n)$-simple semirings, and characterize the semirings which are distributive lattices of $lambda(lambda_n)$-simple semirings. Principal left k-radical, Distributive lattice congruence, Completely semiprime k-ideal, λ-simple semiring, Distributive lattice decomposition 47 55 http://ijmsi.ir/browse.php?a_code=A-10-3485-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/7 1397/2/17 2019/08/152019/10/102019/01/262019/07/1 1398/4/10 T. Mondal Department of Mathematics Dr. Bhupendra Nath Duta Smriti Mahavidyalaya, Hatgobindapur, Burdwan - 713407, West Bengal, India tapumondal@gmail.com 0031947532846009214 0031947532846009214 Yes

en We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained. Function of bounded variation, Perturbed Ostrowski type inequalities. 57 70 http://ijmsi.ir/browse.php?a_code=A-10-3517-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/22 1397/3/1 2019/08/152019/10/102019/01/262019/07/12019/05/6 1398/2/16 S. Erden Department of Mathematics, Faculty of Science, Bartın University, Bartın-Turkey erdensmt@gmail.com 0031947532846009215 0031947532846009215 Yes

en The textit{QIF}  (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ}  factorization. The  WZ factorization can be faster than the textit{LU} factorization  because,  it performs the simultaneous evaluation of two columns or two rows. Here, we present a  method for computing the real and integer textit{WZ} and  textit{ZW} factorizations by using the null space generators of some special nested submatrices of a matrix textit{A}. Linear systems, Quadrant interlocking factorization, WZ factorization, ZW factorization, Null space generator. 71 83 http://ijmsi.ir/browse.php?a_code=A-10-3674-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/7 1397/4/16 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/9 1398/3/19 E. Golpar-Raboky Department of Mathematics, University of Qom, Qom, Iran g.raboky@qom.ac.ir 0031947532846009216 0031947532846009216 Yes E. Babolian Department of Computer Science, Kharazmi University, Tehran, Iran babolian@khu.ac.ir 0031947532846009217 0031947532846009217 No

en This manuscript presents Hyers-Ulam stability and Hyers--Ulam--Rassias stability results of non-linear Volterra integro--delay dynamic system on time scales with fractional integrable impulses. Picard fixed point theorem  is used for obtaining  existence and uniqueness of solutions. By means of   abstract Gr"{o}nwall lemma, Gr"{o}nwall's inequality on time scales, we establish  Hyers-Ulam stability and Hyers-Ulam-Rassias stability results. There are some primary lemmas, inequalities and relevant assumptions that helps in our stability results. Hyers-Ulam stability, Time scale, Impulses, Delay dynamic system, Gr"{o}nwall's inequality, Abstract Gr"{o}nwall lemma, Banach fixed point theorem. 85 97 http://ijmsi.ir/browse.php?a_code=A-10-3494-2&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/31 1397/3/10 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/19 1397/10/29 S. O. Shah Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan omarshah89@yahoo.com 0031947532846009218 0031947532846009218 Yes A. Zada Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan zadababo@yahoo.com 0031947532846009219 0031947532846009219 No

en For a Tychonoff space $X$, we denote by $C_p(X)$ the space of all real-valued continuous functions on $X$ with the topology of pointwise convergence.  We study a functional characterization of the covering property of Hurewicz. $U_{fin}(mathcal{O},Omega)$, Hurewicz property, Selection principles, $C_p$ theory, $U_{fin}(mathcal{O}, Gamma)$. 99 109 http://ijmsi.ir/browse.php?a_code=A-10-3580-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/8 1397/3/18 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/12 1398/4/21 A. Osipov Krasovskii Institute of Mathematics and Mechanics, Ural Federal University, Ural State University of Economics, Yekaterinburg, Russia oab@list.ru 0031947532846009220 0031947532846009220 Yes

en In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities. Inequality, Polynomial, Derivative, Maximum modulus, Restricted zeros. 111 123 http://ijmsi.ir/browse.php?a_code=A-10-3772-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/11 1397/5/20 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/19 1399/5/29 M. Bidkham Department of Mathematics, University of Semnan, Semnan, Iran mdbidkham@gmail.com 0031947532846009221 0031947532846009221 Yes E. KhojastehnezadZHAD Department of Mathematics, University of Semnan, Semnan, Iran khojastehnejadelahe@gmail.com 0031947532846009222 0031947532846009222 No

en An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of them, are collinear. The maximum size of an $(n, r)$-arc in  $PG(2, q)$ is denoted by $m_r(2,q)$.  In this paper we present  a new $(184,12)$-arc in PG$(2,17),$  a new $(244,14)$-arc and a new $(267,15$)-arc in $PG(2,19).$ Finite projective plane, $(n,r)$-arc in a projective plane, $(l,t)$-blocking set in a projective plane, Maximum size of an $(n,r)$-arc, Linear codes. 125 133 http://ijmsi.ir/browse.php?a_code=A-10-3680-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/11 1397/4/20 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/2 1398/4/11 R. Daskalov Department of Mathematics and Informatics, Technical University of Gabrovo, Bulgaria daskalovrn@gmail.com 0031947532846009223 0031947532846009223 Yes

en This paper establishes a study on some important latest innovations in the uniqueness of solution for Caputo fractional Volterra-Fredholm integro-differential equations. To apply this, the study uses Banach contraction  principle and Bihari's inequality.  A wider applicability of these techniques are based on their reliability and reduction in the size of the mathematical work. Caputo fractional derivative, Volterra-Fredholm integro-differential equation, Banach contraction principle, Bihari’s inequality. 135 144 http://ijmsi.ir/browse.php?a_code=A-10-3687-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/12 1397/4/21 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/10 1397/12/19 A. Hamoud Department of Mathematics, Taiz University, Taiz, Yemen drahmed985@yahoo.com 0031947532846009224 0031947532846009224 Yes K. Ghadle Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India drkpghadle1974@gmail.com 0031947532846009225 0031947532846009225 No

en Let $G$ be a finite group and $cd^*(G)$ be the set of nonlinear irreducible character degrees of  $G$. Suppose that $rho(G)$ denotes the set of primes dividing some element of $cd^*(G)$. The bipartite divisor graph for the set of character degrees which is denoted by $B(G)$, is a bipartite graph whose vertices are the disjoint union of $rho(G)$ and $cd^*(G)$, and a vertex $p in rho(G)$ is connected to a vertex $a in cd^*(G)$ if and only if $p|a$. In this paper, we investigate the structure of a group $G$  whose graph $B(G)$ has five vertices. Especially we show that all these groups are solvable. Bipartite divisor graph, Character degree, Solvable group. 145 151 http://ijmsi.ir/browse.php?a_code=A-10-3774-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/12 1397/5/21 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/12 1398/4/21 S. A. Moosavi Faculty of Basic Science, University of Qom, Qom, Iran s.a.mousavi@qom.ac.ir 0031947532846009226 0031947532846009226 Yes

en A  $ mu $-way  $ G $-trade ($ mu geq 2) $  consists of $ mu $ disjoint decompositions of some simple (underlying) graph $ H $ into copies of a graph $ G. $  The   number of copies of the  graph $ G $ in  each of the decompositions is the volume of the $ G $-trade and   denoted by $ s. $ In this paper, we determine all values  $ s $ for which there exists a $  mu $-way   $ K_{1,m} $-trade of  volume $ s $  for underlying graph  $ H=K_{2m,2m} $ and $ H=K_{2m} $. Trade, $ G $-trade, $ mu $-way $ G $-trade ,Trade spectrum. 153 163 http://ijmsi.ir/browse.php?a_code=A-10-3967-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/2 1398/7/10 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/28 1399/10/8 N. Soltankhah Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran soltan@alzahra.ac.ir 0031947532846009227 0031947532846009227 Yes N. Kh. Khademian Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran ir.khademian@gmail.com 0031947532846009228 0031947532846009228 No

en In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form $III$ on the surface. Surfaces of coordinate finite type, Translation surfaces, Laplace operator. 165 176 http://ijmsi.ir/browse.php?a_code=A-10-3826-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/22018/08/29 1397/6/7 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/282020/06/22 1399/4/2 B. Senoussi Department of Mathematics, Ecole Normale Sup´erieure, Mostaganem, Algeria se2014bendhiba@gmail.com 0031947532846009229 0031947532846009229 Yes M. Bekkar Department of Mathematics, Faculty of Sciences, University of Oran, Algeria bekkar_99@yahoo.fr 0031947532846009230 0031947532846009230 No

en Let $R$ be a commutative ring with identity. A proper submodule $N$ of an $R$-module $M$ is an n-submodule if $rmin N~(rin R, min M)$ with $rnotinsqrt{Ann_R(M)}$, then $min N$. A number of results concerning n-submodules are given. For example, we give other characterizations of n-submodules. Also various properties of n-submodules are considered. n-ideal, n-submodule. 177 190 http://ijmsi.ir/browse.php?a_code=A-10-3771-2&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/22018/08/292018/08/15 1397/5/24 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/282020/06/222019/11/7 1398/8/16 M. Ahmadi Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran maryam_ahmadi2662@yahoo.com 0031947532846009185 0031947532846009185 No J. Moghaderi Department of Mathematics, University of Hormozgan, Bandar Abbas, Hormozgan, Iran j.moghaderi@hormozgan.ac.ir 0031947532846009186 0031947532846009186 Yes

en In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures. Inverse Coefficient Problem, Periodic boundary condition, Euler Bernoulli equation, Fourier method. 191 206 http://ijmsi.ir/browse.php?a_code=A-10-3834-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/22018/08/292018/08/152018/08/30 1397/6/8 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/282020/06/222019/11/72019/07/21 1398/4/30 I. Baglan Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey isakinc@kocaeli.edu.tr 0031947532846009231 0031947532846009231 No F. Kanca Department of Computer Engineering, Fenerbahce University, Istanbul, Turkey fatma.kanca@fbu.edu.tr 0031947532846009232 0031947532846009232 No V. Mishra Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India vishnunarayanmishra@gmail.com 0031947532846009233 0031947532846009233 Yes

en The purpose of the present paper is to introduce a class $D_{Sigma ;delta }^{n}C_{0}(alpha )$ of bi-concave functions defined by Al-Oboudi differential operator. We find estimates on the Taylor-Maclaurin coefficients $leftvert a_{2}rightvert $ and $leftvert a_{3}rightvert$ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries. Bi-concave functions, Al-Oboudi differential operator, Coefficient estimates. 207 217 http://ijmsi.ir/browse.php?a_code=A-10-3808-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/22018/08/292018/08/152018/08/302018/09/15 1397/6/24 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/282020/06/222019/11/72019/07/212019/07/12 1398/4/21 Ş. Altinkaya Department of Mathematics, Beykent University, 34500, Istanbul, Turkey sahsenealtinkaya@gmail.com 0031947532846009234 0031947532846009234 Yes

en In this paper, as a main result for Morrey spaces, we prove that the set $mathcal M_q^p(mathbb R^n)backslashbigcup_{q<rleq p}mathcal M_r^p(mathbb R^n)$ is spaceable in $mathcal M_q^p(mathbb R^n)$, where $0<q<p<infty$.} Spaceability‎, ‎Morrey spaces‎, ‎Banach spaces. 219 225 http://ijmsi.ir/browse.php?a_code=A-10-1984-2&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/22018/08/292018/08/152018/08/302018/09/152018/08/29 1397/6/7 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/282020/06/222019/11/72019/07/212019/07/122019/07/12 1398/4/21 Y. Sawano Department of Mathematics, Tokyo Metropolitan University, 1-1, Minami-Ohsawa, Hachioji, Tokyo, 192-0397, Japan yoshihiro-sawano@celery.ocn.ne.jp 0031947532846009235 0031947532846009235 No S. M. Tabatabaie Department of Mathematics, University of Qom, Qom, Iran sm.tabatabaie@qom.ac.ir 0031947532846009236 0031947532846009236 Yes

en This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given products are proposed. Circle, Quaternion, Product, Octonion, Projective Geometry. 227 237 http://ijmsi.ir/browse.php?a_code=A-10-1642-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/22018/08/292018/08/152018/08/302018/09/152018/08/292018/09/25 1397/7/3 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/282020/06/222019/11/72019/07/212019/07/122019/07/122019/03/27 1398/1/7 M. Crasmareanu Faculty of Mathematics, University "Al. I. Cuza", Iasi, 700506, Romania mcrasm@uaic.ro 0031947532846009239 0031947532846009239 Yes

en As two-dimensional coupled system of nonlinear partial differential equations does not give enough smooth solutions, when approximated by linear, quadratic and cubic polynomials and gives poor convergence or no convergence. In such cases, approximation by zero degree polynomials like Haar wavelets (continuous functions with finite jumps) are most suitable and reliable. Therefore, modified numerical method based on Taylor series expansion and Haar wavelets is presented for solving coupled system of nonlinear partial differential equations. Efficiency and accuracy of the proposed method is depicted by comparing with classical methods. Haar wavelet, Taylor series, Collocation points, Nonlinear coupled evolution equations, Operational matrices. 239 259 http://ijmsi.ir/browse.php?a_code=A-10-3903-1&slc_lang=en&sid=1 2018/04/272018/05/72018/05/222018/05/72018/05/222018/07/72018/05/312018/06/82018/08/112018/07/112018/07/122018/08/122019/10/22018/08/292018/08/152018/08/302018/09/152018/08/292018/09/252018/09/19 1397/6/28 2019/08/152019/10/102019/01/262019/07/12019/05/62019/06/92019/01/192019/07/122020/08/192019/07/22019/03/102019/07/122020/12/282020/06/222019/11/72019/07/212019/07/122019/07/122019/03/272021/01/6 1399/10/17 I. Singh Department of Physical Sciences, Sant Baba Bhag Singh University, Jalandhar-144030, Punjab, India inderdeeps.ma.12@gmail.com 0031947532846009237 0031947532846009237 Yes Sh. Kumar Department of Mathematics, Dr. B.R.Ambedkar National Institute of Technology, Jalandhar-144011, Punjab, India sheoks53@gmail.com 0031947532846009238 0031947532846009238 No