ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 A Study of Some Geometric Aspects of a Subclass of Analytic Functions 1 11 EN Syed Zakar Hussain Bukhari Department of Mathematics, Mirpur University of Science and Technology(MUST), Mirpur-10250(AJK), Pakistan fatmi@must.edu.pk Y Huo Tang School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China thth2009@163.com N Farah Manzoor Department of Mathematics, Mirpur University of Science and Technology(MUST), Mirpur-10250(AJK), Pakistan fmhappiness@yahoo.com N 10.66224/ijmsi.21.1.1 We introduce a subclass k - T US∗(α, ϑ)of uniformly starlike functions fand study characterization theorem and coefficients estimates. We also define a neighbourhood of a function funder certain assumptions and study this neighborhood related results. We establish results relating to the partial sums of functions belonging to the class k - T US∗(α, ϑ). These functions are closely linked with the conformal mappings which lead to the growing applications in boundary and eigen-value problems in mathematics and various other fields of science and engineering. This research may also be related with the various known classes already found in the literature. Coefficients estimates, Neighborhood, Integral means, Partial sums. http://ijmsi.ir/article-1-2159-en.html http://ijmsi.ir/article-1-2159-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Finite Groups with Given σ-conditionally Permutable Subgroups 13 19 EN Muhammad Tanveer Hussain Department of Mathematics, University of Management and Technology Lahore 54770, Pakistan tanveerhussain@umt.edu.pk Y 10.66224/ijmsi.21.1.13 Let σ = {σi|i ∈ I} be a partition of the set of all primes P and G a finite group. A set H of subgroups of G is said to be a complete Hall σ-set of G if every member≠ 1 of H is a Hall σi-subgroup of G for some i ∈ I and H contains exactly one Hall σi-subgroup of G for every i such that σi ∩π(G)≠ ∅. In this paper, we study the structure of G based on the notion of σ-conditionally permutable subgroups. Finite groups, σ-conditionally permutable subgroups, Supersoluble groups, σ-nilpotent subgroups, Complete Hall σ-set. http://ijmsi.ir/article-1-2126-en.html http://ijmsi.ir/article-1-2126-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Vortex Solutions for the 2D Boussinesq Equations Under the Radial Gravity 21 38 EN Mahdi Kamandar Department of Applied Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran kamandar@uk.ac.ir N Behruz Raesi Department of Mathematics, Shahed University, Tehran, Iran raesi@shahed.ac.ir Y 10.66224/ijmsi.21.1.21 The main objective of this article is to find some vortex solutions of finite core size for plane Boussinesq equations under the radial gravity, coupled with a diffusive equation of temperature in a weighted subspace of L2(R2). Solutions are expanded into series of Hermite eigenfunctions. We find the coefficients of the series and show the convergence of them. Boussinesq equations, Vortex solution, Hermite functions. http://ijmsi.ir/article-1-2119-en.html http://ijmsi.ir/article-1-2119-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Neutrosophic b-Locally Open Sets in Neutrosophic Topological Spaces 39 52 EN Binod Chandra Tripathy Department of Mathematics, Tripura University, Agartala-799022, India tripathybc@yahoo.com; tripathybc@gmail.com N Suman Das Department of Mathematics, Tripura University, Agartala-799022, India sumandas18842@gmail.com; dr.suman1995@yahoo.com Y 10.66224/ijmsi.21.1.39 The main aim of this article is to introduce the notion of neutrosophic locally open set, neutrosophic locally closed set, neutrosophic b-locally open set, neutrosophic b-locally closed set, NLO*-set, NLC*-set, NLO**-set, NLO**-set, N-bLO**-set and N-bLC**-set via neutrosophic topological spaces, and investigate several properties of these classes of sets. Besides, we formulate several interesting theorems, propositions, remarks, etc. on neutrosophic topological spaces. Further, we furnish few illustrative examples on these classes of sets. Neutrosophic set, Neutrosophic topology, Neutrosophic locally open set, Neutrosophic b-locally open set. http://ijmsi.ir/article-1-2131-en.html http://ijmsi.ir/article-1-2131-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Some Equations in Semiprime Rings with Multiplicative Generalized Semiderivation 53 66 EN Zeliha Bedir Cumhuriyet University, Faculty of Science, Department of Mathematics, Sivas, Turkey zelihabedir@cumhuriyet.edu.tr Y Oznur Golbasi Cumhuriyet University, Faculty of Science, Department of Mathematics, Sivas, Turkey ogolbasi@cumhuriyet.edu.tr N 10.66224/ijmsi.21.1.53 Let R be a semiprime ring. A mapping F on R is said to be a multiplicative generalized semiderivation of R if there exists a multiplicative semiderivation d associated with a map g on R such that (i) F(xy) =F(x)y + g (x) d(y) = d(x)g (y) + xF(y) and (ii) F(g(x)) = g(F(x)), for all x, y ∈ R. The purpose of this paper is to study multiplicative generalized semiderivations satisfying certain differential identities on semiprime rings. Semiprime ring, Semiderivation, Generalized emiderivation, Multiplicative derivation. http://ijmsi.ir/article-1-2258-en.html http://ijmsi.ir/article-1-2258-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 An Efficient FR-CD-Like Algorithm for Unconstrained Optimization 67 84 EN Jitsupa Deepho Faculty of Science, Energy and Environment, King Mongkut’s University of Technology North Bangkok, 19 Moo 11, Nonglalok, Bankhai, Rayong 21120 Thailand jitsupa.d@sciee.kmutnb.ac.th N Auwal Bala Abubakar Numerical optimization research group, Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria ababubakar.mth@buk.edu.ng Y Maulana Malik Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok 16424, Indonesia m.malik@sci.ui.ac.id N Abdulkarim Hassan Ibrahim KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand ibrahimkarym@gmail.com N Aliyu Ibrahim Kiri Numerical optimization research group, Department of Mathematical Sciences, Faculty of Physical Sciences, Bayero University, Kano. Kano, Nigeria sssaly2014@gmail.com N 10.66224/ijmsi.21.1.67 A hybrid conjugate gradient (CG) method is proposed for solving unconstrained optimization problems. The direction of the method is a combination of a three-term conjugate descent (CD) and Fletcher-Reeves (FR) CG directions.  Also, it is close to the direction of the memoryless Broyden-Fletcher-Goldfarb-Shanno (BFGS) method. In addition, under the Wolfe-type line search, the global convergence of the method is established.  Numerical experiments are conducted on some benchmark test problems and the results are reported to show  the efficiency of the propose method compared with some existing methods. Unconstrained optimization, Gonjugate gradient method, Global convergence. http://ijmsi.ir/article-1-2124-en.html http://ijmsi.ir/article-1-2124-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Graph Irregularity Characterization with Particular Regard to Bidegreed Graphs 85 105 EN Ali Ghalavand Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I. R. Iran alighalavand@grad.kashanu.ac.ir Y Tamás Réti Donát Bánki Faculty of Mechanical and Safety Engineering, Óbudá University, Népszínház u. 8, H-1081, Budapest, Hungary reti.tamas@bgk.uni-obuda.hu N Igor Z. Milovanović Faculty of Electronic Engineering, Nis, Serbia igor.milovanovic@elfak.ni.ac.rs N Ali Reza Ashrafi Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, I. R. Iran ashrafi@kashanu.ac.ir N 10.66224/ijmsi.21.1.85 In this study, we are interested mainly in investigating the relations between two graph irregularity measures which are widely used for structural irregularity characterization of connected graphs. Our study is focused on the comparison and evaluation of the discriminatory ability of irregularity measures called degree deviation S(G) and degree variance V ar(G). We establish various upper bounds for irregularity measures S(G) and V ar(G). It is shown that Nikiforov’s inequality which is valid for connected graphs can be sharpened in the form of V ar(G) < S(G)/2. Among others, it is verified that if G is a bidegreed graph then the discrimination ability of S(G) and V ar(G) is considered to be completely equivalent. Irregularity measure, Degree deviation, Degree variance, Bidegreed graph. http://ijmsi.ir/article-1-2183-en.html http://ijmsi.ir/article-1-2183-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Fixed Point Theorems for Multivalued Mappings in Banach Algebras and an Application for Fractional Integral Inclusion 107 131 EN Amro Alsheikh Ali Department of Mathematics, Sfax University, Faculty of Sciences, Sfax, LA 1171, 3000, Tunisia amryounis@hotmail.com N Afif Ben Amar Department of Mathematics, Sfax University, Faculty of Sciences, Sfax, LA 1171, 3000, Tunisia afif.benamar@ipeis.rnu.tn Y 10.66224/ijmsi.21.1.107 In this paper, we establish some fixed point results for the sum and the product of three multivalued mappings, with weakly sequentially closed graph under weak topology features in a Banach algebra. Satisfying a certain sequential condition (P). As an application, our results are used to prove the existence of solutions for a certain non-linear integral inclusion of fractional order. Measures of weak non-compactness, Multivalued mapping, Weakly condensing, Weakly sequentially closed graph, Fixed point theorems, Integral inclusion. http://ijmsi.ir/article-1-2186-en.html http://ijmsi.ir/article-1-2186-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 The $SL_Φ$-integral in Locally Convex Topological Vector Spaces 133 150 EN Rodolfo E. Maza Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Iligan City, Philippines remaza@up.edu.ph; rodolfo.maza@g.msuiit.edu.ph Y Sergio R. Canoy, Jr. Department of Mathematics and Statistics, MSU-Iligan Institute of Technology, Iligan City, Philippines sergio.canoy@g.msuiit.edu.ph N 10.66224/ijmsi.21.1.133 In this paper, we use the Minkowski functional to introduce an SL-type property or condition and then define a SL-type integral for a function taking values in a locally convex topological vector space (LCTVS). We show that this integral is equivalent to the SH1 integral, a version of the Henstock-Kurzweil integral in a LCTVS. Strong Lusin condition, Strong Lusin integral, Strongly Henstock integral. http://ijmsi.ir/article-1-2219-en.html http://ijmsi.ir/article-1-2219-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Some Properties of a Special Subalgebra of Central Derivations 151 160 EN A. Ziaee Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran s.adeleh.z@gmail.com N F. Saeedi Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran saeedi@mashdiau.ac.ir Y 10.66224/ijmsi.21.1.151 Let L be a Lie algebra, and Der(L) and IDer(L) be the set of all derivations and inner derivations of L, respectively. Let D be a subalgebra of Der(L) such that it contains IDer(L) and H = ∩α∈DKerα. If DerH(L) denotes the set of all derivations of L whose images are in H, then we give necessary and sufficient conditions under which DerH(L) is equal to some subalgebras of Der(L) for finite dimensional nilpotent Lie algebras. Derivation, Central derivation, Inner derivation. http://ijmsi.ir/article-1-2223-en.html http://ijmsi.ir/article-1-2223-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Certain Reduction Formulas for Kampé De Fériet Functions and Their Application in Laser Physics 161 172 EN Abdelmajid Belafhal LPNAMME, Laser Physics Group, Department of Physics, Faculty of Sciences, Choua¨ıb Doukkali University, P. B 20, 24000 El Jadida, Morocco belafhal@gmail.com N El Mostafa El Halba LPNAMME, Laser Physics Group, Department of Physics, Faculty of Sciences, Choua¨ıb Doukkali University, P. B 20, 24000 El Jadida, Morocco elhalbams@gmail.com N Talha Usman Preparatory Studies Center, Mathematics and Computing Skills Unit, University of Technology and Applied Sciences, P.O. Box: 484, P.C: 411, Sur, Oman talhausman.maths@gmail.com Y 10.66224/ijmsi.21.1.161 Many works are elaborated to derive interesting identities for hypergeometric-type series containing as a factor a digamma function. In the present paper, new reduction formulae for Kampé de Fériet series of types F2:1;0 1:2;1 and F3:1;0 2:2;1 are performed. By specializing certain parameters, series identities and related reduction identities are deduced. An interesting application is also studied concerning the evaluation of the average intensity of a multi-Gaussian beam propagating through a turbulent atmosphere. Generalized hypergeometric function, Kampé de Fériet function, Incomplete gamma functions, Hyperbolic sine and cosine integral functions. http://ijmsi.ir/article-1-2257-en.html http://ijmsi.ir/article-1-2257-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Almost Simple Groups of Lie Rank Two and Genus Two 173 180 EN Haval M. Mohammed Salih Department of Mathematics, Faculty of Science, Soran University, Kawa St.-Soran, Erbil, Iraq havalmahmood07@gmail.com Y 10.66224/ijmsi.21.1.173 For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we study the connectedness of the Hurwitz space Hinr,g(G) where G is almost simple groups of Lie rank two, with at least four branch points and genus two. Our approach uses computational tools, relying on the computer algebra system GAP and the MAPCLASS package, to find the connected components of Hinr,g(G). This work gives us the complete classification of G. Genus two groups, Almost simple groups, Braid orbits, Connected components. http://ijmsi.ir/article-1-2261-en.html http://ijmsi.ir/article-1-2261-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Duality of FqFq[u]-additive Skew Cyclic Codes 181 196 EN Saeid Bagheri Department of Mathematics, Malayer University, Malayer, Iran bagheri69@gmail.com N Roghayeh Mohammadi Hesari Department of Mathematics, Malayer University, Malayer, Iran r.mohammadi1363@yahoo.com N Elham Shahpouri Department of Mathematics, Malayer University, Malayer, Iran elhamshahpouri@yahoo.com N Karim Samei Department of Mathematics, Bu Ali Sina University, Iran samei@ipm.ir Y 10.66224/ijmsi.21.1.181 Li et al. (2021) obtained the generator polynomials and the minimal generating sets of FqFq[u]-linear skew cyclic codes, where q is a power of a prime integer and u2 = 0. In this paper, we determine the structure of dual of these codes in terms of their generating polynomials and we illustrate the dual of some special FqFq[u]-additive skew cyclic codes.   Chain ring, Skew cyclic code, Additive skew cyclic code, Duality. http://ijmsi.ir/article-1-2285-en.html http://ijmsi.ir/article-1-2285-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Some Further Refinements of Hermite-Hadamard Type Inequalities for Harmonically Convex and P-Convex Functions via Fractional Integrals 197 216 EN Maamar BENBACHIR Faculty of Sciences, Saad Dahlab University, Blida1, Algeria mbenbachir2001@gmail.com Y Farid CHABANE Laboratory of Mathematics and Applied Sciences, University of Ghardaia, Algeria chabane.farid@univ-ghardaia.dz N Imdat ISCAN Faculty of Arts and Sciences, Department of Mathematics, Giresun University, Giresun, Turkey imdat.iscan@giresun.edu.tr N 10.66224/ijmsi.21.1.197 It is well known that Hermite-Hadamard inequality generates an estimate of the mean value of the convex function over a bounded interval, in this work we investigate some Hermite-Hadamard type integral inequalities for p-convex functions and harmonically convex functions in fractional integral forms. Precisely, we provide extensions better than those existing in earlier works.   Hermite-Hadamard inequality, Harmonically convex function, PConvex function, Fractional integral, Refinement. http://ijmsi.ir/article-1-2288-en.html http://ijmsi.ir/article-1-2288-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 21 1 2026 4 1 Global Weak Roman Domination in Graphs 217 228 EN P. Roushini Leely Pushpam Department of Mathematics, D.B. Jain College, Chennai - 600 097, Tamil Nadu, Inida roushinip@yahoo.com N N. Srilakshmi Department of Mathematics, D.B. Jain College, Chennai - 600 097, Tamil Nadu, Inida srilakshmi_murali@yahoo.com Y 10.66224/ijmsi.21.1.217 A Roman dominating function (RDF) of a graph G = (V, E) is a function f : V (G) → {0, 1, 2} satisfying the condition that every vertex u for which f (u) = 0 is adjacent to at least one vertex v for which f (v) = 2. A vertex u with f (u) = 0 is said to be undefended if it is not adjacent to a vertex with f(v) > 0. For a graph G, a function f : V (G)→ {0, 1, 2} is said to be a weak Roman dominating function (WRDF) if each vertex u with f (u) = 0 is adjacent to a vertex v with f(v) > 0 such that the function f′: V (G) → {0, 1, 2} defined by f′(u) = 1, f′(v) = f (v)- 1 and f′(w) = f (w) if w ∈ V - {u, v}, has no undefended vertex. The weight of f is defined to be the value f(V ) = ∑u∈V f (u). The minimum weight of a weak Roman dominating function of a graph G is called the weak Roman domination number of G and is denoted by γr(G). A WRDF with weight γr(G) is called a γr(G)-function. A set S ⊆V is a global dominating set if S dominates both G and its complement G. The global domination number γg(G) of a graph G is the minimum cardinality of a global dominating set S. We extend the idea of global domination to weak Roman domination as follows: For a graph G, the function f : V (G) → {0, 1, 2} is a global weak Roman dominating function (GWRDF) if f is a WRDF for both G and its complement G. The weight of a global weak Roman dominating function is the value f (V ) = ∑u∈V f (u). The minimum weight of a global weak Roman dominating function of a graph G is called the global weak Roman domination number of G and is denoted by γgr(G). In this paper, we initiate a study of this parameter. Weak Roman domination, Global weak Roman domination. http://ijmsi.ir/article-1-2163-en.html http://ijmsi.ir/article-1-2163-en.pdf