JOURNAL OF ADVANCES IN MATHEMATICS 2022-07-14T06:24:15+00:00 Editorial Office Open Journal Systems A New Class of Holomorphic Univalent Functions Defined by Linear Operator 2022-07-14T06:24:15+00:00 Najah Ali Jiben Al-Ziadi Ali Mohammed Ramadhan <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> 2022-08-04T00:00:00+00:00 Copyright (c) 2022 Najah Ali Jiben Al-Ziadi, Ali Mohammed Ramadhan On the existence of a bounded variation solution of a fractional integral equation in L1[0, T] due to the spread of COVID 19 2022-07-05T07:10:48+00:00 Wagdy G. El-Sayed Ragab O. Abd El-Rahman Sheren A. Abd El-Salam Asmaa A. El Shahawy <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> 2022-07-29T00:00:00+00:00 Copyright (c) 2022 Wagdy G. El-Sayed, Ragab O. Abd El-Rahman, Sheren A. Abd El-Salam, Asmaa A. El Shahawy Certain Families of Holomorphic and Sălăgean Type Bi-Univalent Functions Defined by (p,q)-Lucas Polynomials Involving a Modified Sigmoid Activation Function 2022-06-26T20:26:02+00:00 Ali Mohammed Ramadhan and Najah Ali Jiben Al-Ziadi <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> 2022-07-21T00:00:00+00:00 Copyright (c) 2022 Ali Mohammed Ramadhan, and Najah Ali Jiben Al-Ziadi On Hesitant Fuzzy Primary Ideal In Γ- ring 2022-06-18T09:11:26+00:00 Mazen Omran Karim Rand Shafea Ghanim <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> 2022-07-21T00:00:00+00:00 Copyright (c) 2022 Mazen Omran Karim, Rand Shafea Ghanim An analytical approximate method for solving unsteady state two-dimensional convection-diffusion equations 2022-06-02T06:20:52+00:00 A. S. J. Al-Saif Zinah A. Hasan <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> 2022-06-22T00:00:00+00:00 Copyright (c) 2022 A. S. J. Al-Saif, Zinah A. Hasan Hesitant Fuzzy Prime Ideal of Γ- ring 2022-05-10T06:24:04+00:00 Mazen Omran Karim Rand Shafea Ghanim <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> 2022-05-27T00:00:00+00:00 Copyright (c) 2022 Mazen Omran Karim, Rand Shafea Ghanim Backward doubly stochastic differential equations (BDSDEs): Existence and Uniqueness 2022-03-06T06:28:14+00:00 Asma Alwasm <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> 2022-03-24T00:00:00+00:00 Copyright (c) 2022 Asma Alwasm Hypergraphs: Application in Food networks 2022-03-01T11:56:21+00:00 Ibtesam Ali Rasheed Alrowily <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> 2022-03-13T00:00:00+00:00 Copyright (c) 2022 Ibtesam Ali Rasheed Alrowily Some properties of meromrphic univalent functions with negative coefficients defined by Dziok-Srivastava operator 2022-02-10T05:30:21+00:00 Zainab Aodeh A. Mohmmed <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> 2022-03-15T00:00:00+00:00 Copyright (c) 2022 Dziok-Srivastava Operator Distributions generated by the boundary values of functions in Privalov spaces 2022-02-17T18:40:00+00:00 Mejdin Saliji Bedrije Bedjeti Vesna Manova Erakovikj <p>We characterise the distributions generated by the boundary values of functions from Privalov spaces.</p> 2022-03-07T00:00:00+00:00 Copyright (c) 2022 Mejdin Saliji, Bedrije Bedjeti, Vesna Manova Erakovikj On The Teaching Innovation of The Differential Equation Course for Engineering Students 2022-02-18T06:51:11+00:00 shufen zhao <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> 2022-03-07T00:00:00+00:00 Copyright (c) 2022 shufen zhao Problem-Based Teaching Design in Engineering Mathematical Analysis Course 2022-02-16T06:21:33+00:00 Shufen Zhao <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> 2022-03-07T00:00:00+00:00 Copyright (c) 2022 shufen zhao Mathematical Modelling of Oil Pipeline Leakages Using Computational Fluid Dynamics - Case of BIDCO Oil Processing Refinery, Uganda. 2021-12-28T11:49:04+00:00 Ali Wambi Wateya Twaibu Semwogerere Richard O. Awichi Asaph Keikara Muhumuza <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> 2022-02-16T00:00:00+00:00 Copyright (c) 2022 Ali Wambi Wateya, Twaibu Semwogerere, Richard O. Awichi, Asaph Keikara Muhumuza W-Power N-Binormal Operator on Hilbert Space 2022-01-03T11:29:38+00:00 Dr. Alaa Hussein Mohammed <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> 2022-02-14T00:00:00+00:00 Copyright (c) 2022 Dr. Alaa Hussein Mohammed Problem Oriented Learning and Teaching to Improve the Teaching Quality of Engineering Mathematical Analysis 2022-02-01T07:27:57+00:00 Shufen Zhao <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> 2022-02-14T00:00:00+00:00 Copyright (c) 2022 shufen zhao Article Review: Survey about Generalizing Distances 2022-01-07T06:24:24+00:00 Shaimaa S. Al-Bundi <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> 2022-02-08T00:00:00+00:00 Copyright (c) 2022 Shaimaa Albundi Jordan Generalized Centralizerhomo on Prime Rings. 2021-12-22T02:22:12+00:00 Mazen Karim <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> 2022-01-22T00:00:00+00:00 Copyright (c) 2022 Mazen Karim