2026-08-17T23:23:48+03:30 http://ijmsi.ir/browse.php?mag_id=35&slc_lang=en&sid=1

35-1315 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 M. Rossafi rossafimohamed@gmail.com S. Kabbaj samkabbaj@yahoo.fr 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. 2022 4 01 1 9 http://ijmsi.ir/article-1-1315-en.pdf 10.52547/ijmsi.17.1.1

35-1319 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 I. Akkus iakkus.tr@gmail.com E. Kilic ekilic@etu.edu.tr N. Omur neseomur@kocaeli.edu.tr 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. 2022 4 01 11 26 http://ijmsi.ir/article-1-1319-en.pdf 10.52547/ijmsi.17.1.11

35-1333 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 A. Abkar norouzian.m67@gmail.com M. Norouzian abkar@sci.ikiu.ac.ir 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. 2022 4 01 27 46 http://ijmsi.ir/article-1-1333-en.pdf 10.52547/ijmsi.17.1.27

35-1320 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 T. Mondal tapumondal@gmail.com 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 2022 4 01 47 55 http://ijmsi.ir/article-1-1320-en.pdf 10.52547/ijmsi.17.1.47

35-1332 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 S. Erden erdensmt@gmail.com 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. 2022 4 01 57 70 http://ijmsi.ir/article-1-1332-en.pdf 10.52547/ijmsi.17.1.57

35-1358 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 E. Golpar-Raboky g.raboky@qom.ac.ir E. Babolian babolian@khu.ac.ir 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. 2022 4 01 71 83 http://ijmsi.ir/article-1-1358-en.pdf 10.52547/ijmsi.17.1.71

35-1335 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 S. O. Shah omarshah89@yahoo.com A. Zada zadababo@yahoo.com 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. 2022 4 01 85 97 http://ijmsi.ir/article-1-1335-en.pdf 10.52547/ijmsi.17.1.85

35-1337 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 A. Osipov oab@list.ru 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 $U_{fin}(mathcal{O} Gamma)$. 2022 4 01 99 109 http://ijmsi.ir/article-1-1337-en.pdf 10.52547/ijmsi.17.1.99

35-1389 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 M. Bidkham mdbidkham@gmail.com E. KhojastehnezadZHAD khojastehnejadelahe@gmail.com 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. 2022 4 01 111 123 http://ijmsi.ir/article-1-1389-en.pdf 10.52547/ijmsi.17.1.111

35-1360 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 R. Daskalov daskalovrn@gmail.com 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. 2022 4 01 125 133 http://ijmsi.ir/article-1-1360-en.pdf 10.52547/ijmsi.17.1.125

35-1366 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 A. Hamoud drahmed985@yahoo.com K. Ghadle drkpghadle1974@gmail.com 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. 2022 4 01 135 144 http://ijmsi.ir/article-1-1366-en.pdf 10.52547/ijmsi.17.1.135

35-1390 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 S. A. Moosavi s.a.mousavi@qom.ac.ir 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. 2022 4 01 145 151 http://ijmsi.ir/article-1-1390-en.pdf 10.52547/ijmsi.17.1.145

35-1740 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 N. Soltankhah soltan@alzahra.ac.ir N. Kh. Khademian ir.khademian@gmail.com 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. 2022 4 01 153 163 http://ijmsi.ir/article-1-1740-en.pdf 10.52547/ijmsi.17.1.153

35-1400 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 B. Senoussi se2014bendhiba@gmail.com M. Bekkar bekkar_99@yahoo.fr 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. 2022 4 01 165 176 http://ijmsi.ir/article-1-1400-en.pdf 10.52547/ijmsi.17.1.165

35-1393 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 M. Ahmadi maryam_ahmadi2662@yahoo.com J. Moghaderi j.moghaderi@hormozgan.ac.ir 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. 2022 4 01 177 190 http://ijmsi.ir/article-1-1393-en.pdf 10.52547/ijmsi.17.1.177

35-1401 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 I. Baglan isakinc@kocaeli.edu.tr F. Kanca fatma.kanca@fbu.edu.tr V. Mishra vishnunarayanmishra@gmail.com 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. 2022 4 01 191 206 http://ijmsi.ir/article-1-1401-en.pdf 10.52547/ijmsi.17.1.191

35-1408 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 Ş. Altinkaya sahsenealtinkaya@gmail.com 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. 2022 4 01 207 217 http://ijmsi.ir/article-1-1408-en.pdf 10.52547/ijmsi.17.1.207

35-1399 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 Y. Sawano yoshihiro-sawano@celery.ocn.ne.jp S. M. Tabatabaie sm.tabatabaie@qom.ac.ir 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. 2022 4 01 219 225 http://ijmsi.ir/article-1-1399-en.pdf 10.52547/ijmsi.17.1.219

35-1418 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 M. Crasmareanu mcrasm@uaic.ro 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. 2022 4 01 227 237 http://ijmsi.ir/article-1-1418-en.pdf 10.52547/ijmsi.17.1.227

35-1413 2026-08-17 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 1 I. Singh inderdeeps.ma.12@gmail.com Sh. Kumar sheoks53@gmail.com 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. 2022 4 01 239 259 http://ijmsi.ir/article-1-1413-en.pdf 10.52547/ijmsi.17.1.239