JOURNAL OF ADVANCES IN MATHEMATICS KHALSA PUBLICATIONS en-US JOURNAL OF ADVANCES IN MATHEMATICS 2347-1921 <p><a href="" rel="license"><img src="" alt="Creative Commons License" /></a> All articles published in <em>Journal of Advances in Linguistics</em> are licensed under a <a href="">Creative Commons Attribution 4.0 International License</a>.</p> A New Class of Holomorphic Univalent Functions Defined by Linear Operator <p>In the present work, we submit and study a new class AN(τ, λ, η, ρ) containing holomorphic univalent functions defined by linear operator in the open unit disk Λ={s ϵ C :|s | &lt;1} We get some geometric properties, such as, coefficient inequality, growth, and distortion bounds, convolution properties, convex set, neighborhood property, radii of starlikeness and convexity , weighted mean and arithmetic mean for functions belonging to the class AN(τ, λ, η, ρ)&nbsp;</p> Najah Ali Jiben Al-Ziadi Ali Mohammed Ramadhan Copyright (c) 2022 Najah Ali Jiben Al-Ziadi, Ali Mohammed Ramadhan 2022-08-04 2022-08-04 21 116 124 10.24297/jam.v21i.9258 On the existence of a bounded variation solution of a fractional integral equation in L1[0, T] due to the spread of COVID 19 <p>In this article, we will investigate the existence and uniqueness of a bounded variation solution for a fractional integral equation in the space L1[0, T] of Lebesgue integrable functions.</p> Wagdy G. El-Sayed Ragab O. Abd El-Rahman Sheren A. Abd El-Salam Asmaa A. El Shahawy Copyright (c) 2022 Wagdy G. El-Sayed, Ragab O. Abd El-Rahman, Sheren A. Abd El-Salam, Asmaa A. El Shahawy 2022-07-29 2022-07-29 21 107 115 10.24297/jam.v21i.9254 Certain Families of Holomorphic and Sălăgean Type Bi-Univalent Functions Defined by (p,q)-Lucas Polynomials Involving a Modified Sigmoid Activation Function <p>The aim of the present paper is to introduce a certain families of holomorphic and Sălăgean type bi-univalent functions by making use (p, q) - Lucas polynomials involving the modified sigmoid activation function Φ(δ)=z/(1+e<sup>-δ</sup>) δ&gt;=1 in the open unit disk Λ. For functions belonging to these subclasses, we obtain upper bounds for the second and third coefficients. Also, we debate Fekete-Szegö inequality for these families. Further, we point out several certain special cases for our results.</p> Ali Mohammed Ramadhan and Najah Ali Jiben Al-Ziadi Copyright (c) 2022 Ali Mohammed Ramadhan, and Najah Ali Jiben Al-Ziadi 2022-07-21 2022-07-21 21 96 106 10.24297/jam.v21i.9253 On Hesitant Fuzzy Primary Ideal In Γ- ring <p>In this paper, we introduce the notions of hesitant fuzzy primary ideal and completely primary ideal, hesitant fuzzy semiprimary ideals of a -ring, and discuss the relation between hesitant primary ideal, completely primary and semiprimary</p> Mazen Omran Karim Rand Shafea Ghanim Copyright (c) 2022 Mazen Omran Karim, Rand Shafea Ghanim 2022-07-21 2022-07-21 21 89 95 10.24297/jam.v21i.9251 An analytical approximate method for solving unsteady state two-dimensional convection-diffusion equations <p><strong> </strong>In this paper, an analytic approximate method for solving the unsteady two-dimensional convection-diffusion equations is introduced. Also, the convergence of the approximate methods is analyzed. Three test examples are presented, two have exact and one has not exacted solutions. The results obtained show that these methods are powerful mathematical tools for solving linear and nonlinear partial differential equations, moreover, new analytic Taylor method (NATM), reduced differential transform method (RDTM), and homotopy perturbation method (HPM), are more accurate and have less CPU time than the other methods.</p> A. S. J. Al-Saif Zinah A. Hasan Copyright (c) 2022 A. S. J. Al-Saif, Zinah A. Hasan 2022-06-22 2022-06-22 21 73 88 10.24297/jam.v21i.9242 Hesitant Fuzzy Prime Ideal of Γ- ring <p>In this paper, we introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal, hesitant fuzzy strongly prime ideal in gamma rings and hesitant 3-prime ideal. Also, we study the relation between the above concepts</p> Mazen Omran Karim Rand Shafea Ghanim Copyright (c) 2022 Mazen Omran Karim, Rand Shafea Ghanim 2022-05-27 2022-05-27 21 66 72 10.24297/jam.v21i.9230 Backward doubly stochastic differential equations (BDSDEs): Existence and Uniqueness <p>In this paper, we present a class of stochastic differential equations with terminal condition, called backward doubly stochastic differential equations (BDSDEs). Precisely, we will prove the existence and uniqueness of the solutions of FBDSDEs but under weaker conditions</p> Asma Alwasm Copyright (c) 2022 Asma Alwasm 2022-03-24 2022-03-24 21 58 65 10.24297/jam.v21i.9211 Hypergraphs: Application in Food networks <p>A hypergraph is a generalization of a graph since, in a graph an edge relates only a pair of points, but the edges of a hypergraph known as hyperedges can relate groups of more than two points. The representation of complex systems as graphs is appropriate for the study of certain problems. We give several examples of social, biological, ecological and technological systems where the use of graphs gives very limited information about the structure of the system. We propose to use hypergraphs to represent these systems.</p> Ibtesam Ali Rasheed Alrowily Copyright (c) 2022 Ibtesam Ali Rasheed Alrowily 2022-03-13 2022-03-13 21 50 57 10.24297/jam.v21i.9207 Some properties of meromrphic univalent functions with negative coefficients defined by Dziok-Srivastava operator <p>The main aim of the present investigation is to introduce a new class of meromorphic univalent functions with negative coefficients defined by Dziok-Srivastava operator. Some geometric properties are introduced, like coefficient estimate, integral operator, Feket-Szegӧ bounds for this class of meromorphic functions.</p> Zainab Aodeh A. Mohmmed Copyright (c) 2022 Dziok-Srivastava Operator 2022-03-15 2022-03-15 21 44 49 10.24297/jam.v21i.9193 Distributions generated by the boundary values of functions in Privalov spaces <p>We characterise the distributions generated by the boundary values of functions from Privalov spaces.</p> Mejdin Saliji Bedrije Bedjeti Vesna Manova Erakovikj Copyright (c) 2022 Mejdin Saliji, Bedrije Bedjeti, Vesna Manova Erakovikj 2022-03-07 2022-03-07 21 38 43 10.24297/jam.v21i.9201 On The Teaching Innovation of The Differential Equation Course for Engineering Students <p>This paper focuses on the teaching innovation of differential equation course for engineering students, and explores the innovative methods and ways of teaching mode, teaching content and teaching means in this course.</p> shufen zhao Copyright (c) 2022 shufen zhao 2022-03-07 2022-03-07 21 35 37 10.24297/jam.v21i.9202 Problem-Based Teaching Design in Engineering Mathematical Analysis Course <p>According to the characteristics of engineering mathematics analysis course, this paper discuss the problem-based teaching design of engineering mathematics analysis from the perspectives of problem raising, problem analysis, problem solving and problem feedback during the whole teaching process.</p> Shufen Zhao Copyright (c) 2022 shufen zhao 2022-03-07 2022-03-07 21 32 34 10.24297/jam.v21i.9199 Mathematical Modelling of Oil Pipeline Leakages Using Computational Fluid Dynamics - Case of BIDCO Oil Processing Refinery, Uganda. <p>The leakage flow phenomena of a refinery oil pipe with a leakage point is numerically studied with the purpose to minimize oil leakage using Computational Fluid Dynamics (CFD) approach. Among consequences of oil pipe leakages are losses as a result of property loss (oil), cost of pipe replacement and also death due to fire or explosion. To understand the leakage phenomena, pipe characteristics at the leakage orifice are necessary. In the simulation, considering a pipe with a leak orifice of 0.002m, diameter 0.06 m and length 10 m, single phased flow was considered. The leakage through the pipe was studied based on fluid dynamics simulations using a Computational fluid dynamic tool ANSYS FLUENT software 17.2 where the Navier-Stokes were solved and for turbulence the standard k-ε was considered. Results from this study show that the leakage flow rate increases with increase in velocity inflow of the fluid. The pressure effect was also studied at the vicinity of the leak and results also show that an increase in velocity increases the pressure drop. Therefore, keeping the inflow velocity range of 0.1ms−1 to 2 ms−1 show minimal leakage rates.</p> Ali Wambi Wateya Twaibu Semwogerere Richard O. Awichi Asaph Keikara Muhumuza Copyright (c) 2022 Ali Wambi Wateya, Twaibu Semwogerere, Richard O. Awichi, Asaph Keikara Muhumuza 2022-02-16 2022-02-16 21 25 31 10.24297/jam.v21i.9163 W-Power N-Binormal Operator on Hilbert Space <p>In this paper we present a new class of operators on Hilbert space called w-power n-binormal operator. We study this operator and give some properties of it.</p> Dr. Alaa Hussein Mohammed Copyright (c) 2022 Dr. Alaa Hussein Mohammed 2022-02-14 2022-02-14 21 20 24 10.24297/jam.v21i.9166 Problem Oriented Learning and Teaching to Improve the Teaching Quality of Engineering Mathematical Analysis <p>This paper objectively analyzes the challenges faced by the teaching of engineering mathematical analysis, analyzes the connotation and essence of problem-oriented learning and teaching, puts forward the problem-oriented learning and teaching mode, and tries to improve the teaching quality of engineering mathematical analysis.</p> Shufen Zhao Copyright (c) 2022 shufen zhao 2022-02-14 2022-02-14 21 15 19 10.24297/jam.v21i.9187 Article Review: Survey about Generalizing Distances <p>As known, in general topology the talking be about “nearness”. This is exactly needed to discuss subjects such convergence and continuity. The simple way to study about nearness is to correspond the set with a distance function to inform us how far apart two elements of are. The metric concept introduced by a French mathematician Maurice René Fréchet (1878 – 1973) in 1906 in his work on some points of the functional calculus. However, the name is due to a German mathematician Felix Hausdorff (1868 –1942) who is considered to be one of the founders of modern topology. In addition to these contribution, he contributed significantly to set theory, descriptive set theory, measure theory, and functional analysis.</p> Shaimaa S. Al-Bundi Copyright (c) 2022 Shaimaa Albundi 2022-02-08 2022-02-08 21 5 14 10.24297/jam.v21i.9170 Jordan Generalized Centralizerhomo on Prime Rings. <p><strong> </strong>In this article we introduce the concepts of generalized centralizerhomo and Jordan generalized centralizerhomo on prime ring. The aim object of this paper we prove: Every Jordan generalized centralizerhomo of 2-torsion free prime ring is Jordan generalized triple centralizerhomo on .</p> Mazen Karim Copyright (c) 2022 Mazen Karim 2022-01-22 2022-01-22 21 1 4 10.24297/jam.v21i.9159