eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 1 16 article Masoumeh Zeinali zeinali@tabrizu.ac.ir 1 Fariba Maheri maherival@gmail.com 2 Stefania Tomasiello stefania.tomasiello@ut.ee 3 Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran Institute of Computer Science, University of Tartu, Estonia 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. http://ijmsi.ir/article-1-2072-en.pdf MCE-Product GH-differentiability Fuzzy differential equation Analytical solution. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 17 29 article Alessandro Linzi linzi.alessandro@gmail.com 1 Hanna Stojałowska hanna.stojalowska@phd.usz.edu.pl 2 Centre for Information Technologies and Applied Mathematics University of Nova Gorica, Vipavska 13, SI-5000 Nova Gorica, Slovenia Department of Mathematics West Pomeranian University of Technology, Piast´ow 48, PL 70-311 Szczecin, Poland 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]. http://ijmsi.ir/article-1-2055-en.pdf Hypergroup Hyperfield Hyperring Hypervaluation Ordered canonical hypergroup. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 31 39 article Y. Estaremi yestaremi@gu.ac.ir 1 A. Ebadian ebadian.ali@gmail.com 2 S. Esmaeili dr.somaye.esmaili@gmail.com 3 Department of Mathematics and Computer Sciences, Golestan University, Gorgan, Iran Department of Mathematics, Urmia University, Urmia, Iran Department of Mathematics, Payame Noor University, P. O. Box: 19395-3697, Tehran, Iran 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. http://ijmsi.ir/article-1-1941-en.pdf Harmonic function Fredholm operator Composition operator Univalent function. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 41 62 article Ricardo Cano M ricardocm@unisabana.edu.co 1 José A. Jiménez M. josajimenezm@unal.edu.co 2 Jorge M. Ruiz V. jmruizv@unal.edu.co 3 Engineering Faculty, Universidad de La Sabana, Campus Universitario, Puente del Com´un, Ch´ıa, Cundinamarca (250001), Colombia Statistic Department, Universidad Nacional de Colombia, Bogot´a, Avenida Carrera 30 45-03 (111321), Colombia Mathematics Department, Universidad Nacional de Colombia, Bogot´a, Avenida Carrera 30 45-03 (111321), Colombia 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.   http://ijmsi.ir/article-1-2096-en.pdf Stochastic differential equations Brownian motion process Analytic solutions Stochastic simulation Pharmacokinetics. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 63 77 article Laila Shahbazi l.shahbazi@azaruniv.ac.ir 1 Hossein Abdollahzadeh Ahangar ha.ahangar@nit.ac.ir 2 Rana Khoeilar khoeilar@azaruniv.ac.ir 3 Seyed Mahmoud Sheikholeslami s.m.sheikholeslami@azaruniv.ac.ir 4 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I.R. Iran Department of Mathematics, Babol Noshirvani University of Technology, Shariati Ave., Babol, I.R. Iran, Postal Code: 47148-71167 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I.R. Iran Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, I.R. Iran 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. http://ijmsi.ir/article-1-2018-en.pdf Signed total double Roman k-dominating function Signed total double Roman k-domination number. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 79 99 article K. O. Aremu 218081063@stu.ukzn.ac.za 1 C. Izuchukwu izuchukwuc@ukzn.ac.za 2 O. T. Mewomo mewomoo@ukzn.ac.za 3 School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa 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. http://ijmsi.ir/article-1-2105-en.pdf p-uniformly convex metric spaces Multivalued nonexpansive mapping p-resolvent operators. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 101 121 article Mohammad Ashraf mashraf80@hotmail.com 1 Aisha Jabeen ajabeen329@gmail.com 2 Feng Wei daoshuo@hotmail.com 3 Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India Department of Physics, Jamia Millia Islamia, New Delhi 110025, India School of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China 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. http://ijmsi.ir/article-1-2021-en.pdf Unital algebra Lie triple derivation Lie triple higher derivation. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 123 128 article Alireza Abdollahi a.abdollahi@math.ui.ac.ir 1 Mahdi Ebrahimi m.ebrahimi.math@ipm.ir 2 Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan 81746-73441, Iran Institute for Research in Fundamental Sciences, School of Mathematics, Tehran, Iran 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. http://ijmsi.ir/article-1-2048-en.pdf Zero divisors Complex group algebras Finite groups. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 129 137 article Ibrahim S. Ibrahim ibrahimmath95@gmail.com 1 Rifat Çolak rftcolak@gmail.com 2 Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkiye Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkiye 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. http://ijmsi.ir/article-1-1948-en.pdf Modulus function Statistical convergence f-lacunary statistical convergence Strong f-lacunary summability. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 139 154 article Mehdi Mohammadi mehdi.mohammadi5677@gmail.com 1 G. Zamani Eskandani zamani@tabrizu.ac.ir 2 Department of Mathematics, Payame Noor University, Tehran, Iran Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran 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. http://ijmsi.ir/article-1-2050-en.pdf Extragradient method Halpern regularization Multivalued mapping Quasi-equilibrium problem Quasi-nonexpansive. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 155 159 article Peter Danchev danchev@math.bas.bg; pvdanchev@yahoo.com 1 Mahdi Samiei m.samiei@velayat.ac.ir; m.samiei91@yahoo.com 2 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria Department of Mathematics, Velayat University, Iranshahr, Iran 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]. http://ijmsi.ir/article-1-2140-en.pdf Finite ring Commutative ring Nil-Neat ring Weakly Nil-Neat ring Probability. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 161 172 article K. R. Raslan kamal.raslan@yahoo.com 1 A. A. Soliman prof.abdelmaksoud13@yahoo.com 2 A. M. Abdallah ahmedabdel3l@yahoo.com 3 Mathematics Department, Faculty of Science, Al-Azhar University, Egypt Mathematics Department, Faculty of Science, Arish University, Egypt Basic Science Department, H.T.I, Tenth of Ramadan City, Egypt 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. http://ijmsi.ir/article-1-2016-en.pdf Multiple delay Fractional derivative and integrals Stability. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 173 189 article Alireza Mofidi mofidi@aut.ac.ir 1 Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran 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. http://ijmsi.ir/article-1-2111-en.pdf Radon-Nikodym theorem Stone representation theorem for measure algebras Logical compactness theorem Integration logic. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 191 207 article V. C. Amritha amritha.cis@gmail.com 1 M. Subajini subashini.m05@gmail.com 2 K. Selvakumar kaselvamsu@msuniv.ac.in 3 PG Teacher, Department of Mathematics, Metropolitan International Indian School, Ajman, UAE PG Teacher, Department of Mathematics, Gems Our Own English High School, Sharjah, UAE Department of Mathematics, Manonmaniam Sundaranar University, Tirunelveli 627 012, Tamil Nadu, India 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. http://ijmsi.ir/article-1-1956-en.pdf Zero-divisor graph Cozero-divisor graph Connected Genus Finitely generated module. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2025-09 20 2 209 242 article Nazia Irshad nazia.irshad@duet.edu.pk 1 Asif R. Khan asifrk@uok.edu.pk 2 Muhammad Awais Shaikh m.awaisshaikh2014@gmail.com 3 Department of Mathematics, Dawood University of Engineering and Technology-74800, New M. A. Jinnah Road, Karachi, Pakistan Department of Mathematics, University of Karachi, University Road, Karachi, Pakistan Department of Mathematics, Nabi Bagh Z. M. Science College, Saddar, Karachi, Pakistan 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. http://ijmsi.ir/article-1-2009-en.pdf Ostrowski’s inequality Numerical integration Differentiable functions.