2026-09-13T21:23:47+03:30 http://ijmsi.ir/browse.php?mag_id=45&slc_lang=en&sid=1

45-2072 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Masoumeh Zeinali zeinali@tabrizu.ac.ir Fariba Maheri maherival@gmail.com Stefania Tomasiello stefania.tomasiello@ut.ee In this paper, first, we modify the recently introduced MCEproduct to include the property of shape-preserving. This product has attractive properties. For example, it is distributive with respect to the addition and it doesn’t depend on the signs of multiplied fuzzy numbers. Then, the effectiveness and applicability of the modified MCE-product are investigated in treating differential equations with fuzzy multiplications. Due to the complexity of fuzzy multiplication, differential equations with fuzzy coefficients are one of the most challenging topics in the field of fuzzy differential equations. In this paper, as an example of these equations, the first-order linear differential equation with fuzzy variable coefficients is solved by using the modified MCE-product. This equation was chosen because it has been recently solved by Zadeh extension principle-based product and cross-product and we can compare our results with them. The results show the priority of the MCE-product over the mentioned methods. MCE-Product GH-differentiability Fuzzy differential equation Analytical solution. 2025 9 01 1 16 http://ijmsi.ir/article-1-2072-en.pdf 10.61882/ijmsi.20.2.1

45-2055 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Alessandro Linzi linzi.alessandro@gmail.com Hanna Stojałowska hanna.stojalowska@phd.usz.edu.pl We study the concept of hypervaluations on hyperfields. The main aim of this paper is to show that any hypervaluation from a hyperfield onto an ordered canonical hypergroup is the composition of a hypervaluation onto an ordered abelian group (which induces the same valuation hyperring) and an order preserving homomorphism of hypergroups. This implies that the generalization of hypervaluations proposed in [13] can be reduced to the original definition of hypervaluation given by Davvaz and Salasi in [4]. Moreover, we provide counterexamples to some assertions which appear in [13]. Hypergroup Hyperfield Hyperring Hypervaluation Ordered canonical hypergroup. 2025 9 01 17 29 http://ijmsi.ir/article-1-2055-en.pdf 10.61882/ijmsi.20.2.17

45-1941 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Y. Estaremi yestaremi@gu.ac.ir A. Ebadian ebadian.ali@gmail.com S. Esmaeili dr.somaye.esmaili@gmail.com In this paper we characterize Fredholm and invertible composition operators on harmonic Bloch function spaces. Indeed, we provide some necessary and sufficient conditions for Fredholmness of composition operators. Also, we investigate the relation between the Fredholm and invertible composition operators on harmonic Bloch function spaces. Harmonic function Fredholm operator Composition operator Univalent function. 2025 9 01 31 39 http://ijmsi.ir/article-1-1941-en.pdf 10.61882/ijmsi.20.2.31

45-2096 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Ricardo Cano M ricardocm@unisabana.edu.co José A. Jiménez M. josajimenezm@unal.edu.co Jorge M. Ruiz V. jmruizv@unal.edu.co This paper examines the dynamics of drug concentration in the body accounting for random factors like patient and environmental variability. We develop an explicit solution for drug concentration using a Stochastic Differential Equation (SDE) model. We calculate formulas for the expected value and variance, enabling statistical evaluation and prediction of the drug’s concentration trajectory and its uncertainty. The unknown parameters in the model are estimated using the method of moments. We apply our proposed methods to a real-world dataset, providing useful insights analysis of drug concentration and the determination of its therapeutic range.   Stochastic differential equations Brownian motion process Analytic solutions Stochastic simulation Pharmacokinetics. 2025 9 01 41 62 http://ijmsi.ir/article-1-2096-en.pdf 10.61882/ijmsi.20.2.41

45-2018 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Laila Shahbazi l.shahbazi@azaruniv.ac.ir Hossein Abdollahzadeh Ahangar ha.ahangar@nit.ac.ir Rana Khoeilar khoeilar@azaruniv.ac.ir Seyed Mahmoud Sheikholeslami s.m.sheikholeslami@azaruniv.ac.ir A signed total double Roman k-dominating function (STDRkDF) on an isolated-free graph G = (V, E) is a function f : V (G) → {-1, 1, 2, 3} such that (i) every vertex v with f(v) = -1 has at least two neighbors assigned 2 under f or at least one neighbor w with f(w) = 3, (ii) every vertex v with f(v) = 1 has at least one neighbor w with f(w) ≥ 2 and (iii) ∑u∈N(v) f(u) ≥ k holds for any vertex v. The weight of an STDRkDF is the value f(V (G)) = ∑u∈V (G) f(u). The signed total double Roman k-domination number γstdR k (G) is the minimum weight among all signed total double Roman k-dominating functions on G. In this paper we present sharp lower bounds for γstdR 2 (G) and γstdR 3 (G) in terms of the order and the size of the graph G. Signed total double Roman k-dominating function Signed total double Roman k-domination number. 2025 9 01 63 77 http://ijmsi.ir/article-1-2018-en.pdf 10.61882/ijmsi.20.2.63

45-2105 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 K. O. Aremu 218081063@stu.ukzn.ac.za C. Izuchukwu izuchukwuc@ukzn.ac.za O. T. Mewomo mewomoo@ukzn.ac.za In this paper, we first extend the class of multivalued nonexpansive mappings to p-uniformly convex metric spaces. Furthermore, we propose and study an iterative algorithm involving p-resolvent operators of proper, convex and lowersemicontinuous functions for approximating a common solution of a finite family of minimization problems which is also a common fixed points of two multivalued nonexpansive mappings in p-uniformly convex metric space. Our proposed algorithm converges to a common element in the intersection of the set of minimizers of a finite family of proper, convex and lower semicontinuous functions and the set of common fixed points of two multivalued nonexpansive mappings. Finally, we demonstrate the applicability of our results with a numerical example. Our results improve many important and recent results in this direction. p-uniformly convex metric spaces Multivalued nonexpansive mapping p-resolvent operators. 2025 9 01 79 99 http://ijmsi.ir/article-1-2105-en.pdf 10.61882/ijmsi.20.2.79

45-2021 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Mohammad Ashraf mashraf80@hotmail.com Aisha Jabeen ajabeen329@gmail.com Feng Wei daoshuo@hotmail.com In this article, we show that under certain assumptions every multiplicative Lie triple higher derivation  L= {Li}i∈N on U is of standard form, i.e., each component Li has the form Li = δi + γi, where {δi}i∈N is an additive higher derivation on U and {γi}i∈N is a sequence of mappings γi : U → Z(U) vanishing at Lie triple products on U. Unital algebra Lie triple derivation Lie triple higher derivation. 2025 9 01 101 121 http://ijmsi.ir/article-1-2021-en.pdf 10.61882/ijmsi.20.2.101

45-2048 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Alireza Abdollahi a.abdollahi@math.ui.ac.ir Mahdi Ebrahimi m.ebrahimi.math@ipm.ir It is proved that if 1 + x + y or 1 + x - y cannot occur as a zero divisor of the complex group algebra of a finite group G for any two distinct x, y ∈ G {1}, then G is solvable. We also characterize all finite abelian groups with the latter property. The motivation of studying such property for finite groups is to settle the existence of zero divisors with support size 3 in the integral group algebra of torsion free residually finite groups. Zero divisors Complex group algebras Finite groups. 2025 9 01 123 128 http://ijmsi.ir/article-1-2048-en.pdf 10.61882/ijmsi.20.2.123

45-1948 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Ibrahim S. Ibrahim ibrahimmath95@gmail.com Rifat Çolak rftcolak@gmail.com The statistical convergence with respect to a modulus function has various applications in both mathematics and statistics. The main purpose of this research paper is to establish the relations between the sets of strongly f-lacunary summable and strongly g-lacunary summable sequences, strongly f-lacunary summable and g-lacunary statistically convergent sequences, where f and g are different modulus functions under certain conditions. Furthermore, for some special modulus functions, we establish the relations between the sets of strongly f-lacunary summable and strongly lacunary summable sequences. Modulus function Statistical convergence f-lacunary statistical convergence Strong f-lacunary summability. 2025 9 01 129 137 http://ijmsi.ir/article-1-1948-en.pdf 10.61882/ijmsi.20.2.129

45-2050 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Mehdi Mohammadi mehdi.mohammadi5677@gmail.com G. Zamani Eskandani zamani@tabrizu.ac.ir In this paper, we consider quasi-eqilibrium problems which extend equilibrium problems and quasi-variational inequalities as well as variational inequalities in Hadamard spaces. We study ∆-convergence of the sequence generated by the extragradient method to a solution of a quasi-equilibrium problem in Hadamard spaces. Then we show strong convergence of the generated sequence to a solution of the problem by imposing some additional conditions. We also use the Halpern regularization method to prove strong convergence of the generated sequence to a solution of the quasi-equilibrium problem where the equilibrium point is the projection of an arbitrary point u onto the solution set of the problem. Extragradient method Halpern regularization Multivalued mapping Quasi-equilibrium problem Quasi-nonexpansive. 2025 9 01 139 154 http://ijmsi.ir/article-1-2050-en.pdf 10.61882/ijmsi.20.2.139

45-2140 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Peter Danchev danchev@math.bas.bg; pvdanchev@yahoo.com Mahdi Samiei m.samiei@velayat.ac.ir; m.samiei91@yahoo.com We study the probability of (weak) nil-neatness of a finite commutative ring, which is a natural continuation of the probabilities of (weak) nil-cleanliness that are investigated in [4, 5]. Finite ring Commutative ring Nil-Neat ring Weakly Nil-Neat ring Probability. 2025 9 01 155 159 http://ijmsi.ir/article-1-2140-en.pdf 10.61882/ijmsi.20.2.155

45-2016 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 K. R. Raslan kamal.raslan@yahoo.com A. A. Soliman prof.abdelmaksoud13@yahoo.com A. M. Abdallah ahmedabdel3l@yahoo.com This article is devoted to investigate the anlysis for the solution for a class of linear and nonlinear Caputo fractional FredholmVolterra integro-differential equations with multiple delays. The convergence and stability analysis for these equations are investigated. Multiple delay Fractional derivative and integrals Stability. 2025 9 01 161 172 http://ijmsi.ir/article-1-2016-en.pdf 10.61882/ijmsi.20.2.161

45-2111 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Alireza Mofidi mofidi@aut.ac.ir The celebrated Radon-Nikodym theorem and Stone representation theorem for measure algebras are two important classical results in analysis. This paper pursues two main goals. One is to give new proofs for these theorems by using ideas from logic and application of an important theorem, namely, the logical compactness theorem. The second and even more important goal is to try to reveal more the power of logical methods in analysis in particular measure theory, and make stronger connections between two fields of analysis and logic. Through the paper, we use a logical setting called ”integration logic” which is a framework for studying measure and probability structures through logical means. The paper is mostly written for general mathematicians, in particular the people active in logic or analysis as the main audiences. It is self-contained and does not require advanced prerequisite knowledge from logic or analysis. Radon-Nikodym theorem Stone representation theorem for measure algebras Logical compactness theorem Integration logic. 2025 9 01 173 189 http://ijmsi.ir/article-1-2111-en.pdf 10.61882/ijmsi.20.2.173

45-1956 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 V. C. Amritha amritha.cis@gmail.com M. Subajini subashini.m05@gmail.com K. Selvakumar kaselvamsu@msuniv.ac.in In 2011, M. Afkhami and K. Khashyarmanesh introduced the cozero-divisor graph. Let R be a commutative ring with identity and let W∗(R) be the set of all non-zero non-unit elements of R. The cozerodivisor graph Γ′(R) of R is a simple graph with the vertex set W∗(R), and two distinct vertices a and b are adjacent if and only if a ∉ bR and b ∉ aR. In this paper, we offer a survey of results on cozero-divisor graph of commutative rings. Zero-divisor graph Cozero-divisor graph Connected Genus Finitely generated module. 2025 9 01 191 207 http://ijmsi.ir/article-1-1956-en.pdf 10.61882/ijmsi.20.2.191

45-2009 2026-09-13 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 2 Nazia Irshad nazia.irshad@duet.edu.pk Asif R. Khan asifrk@uok.edu.pk Muhammad Awais Shaikh m.awaisshaikh2014@gmail.com We first establish weighted Ostrowski type inequalities for bounded differentiable functions. This inequality is also obtained for bounded above and bounded below differentiable functions. Some applications of the proposed results are presented to numerical standard and non standard quadrature rules. We recapture known results as well as obtain new results. Ostrowski’s inequality Numerical integration Differentiable functions. 2025 9 01 209 242 http://ijmsi.ir/article-1-2009-en.pdf 10.61882/ijmsi.20.2.209