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حل مسائل القيم الحدودية الضبابية == SOLUTIONS OF FUZZY BOUNDARY VALUE PROBLEMS

Author name: حسين رزاق حسن
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

فئة الوحدات المعممة على حلقتين ابداليتين == THE CATEGORY OF GENERALIZED MODULES ON TWO DIFFERENT RINGS

Author name: طارق زياد هاشم كاظم
Supervisor name: حسن جياد سوادي | علي عبد الصاحب محمد البطيحي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

طريقة التغاير التكرارية لحل مسائل الترسيب ذات القيمة الحدودية المتحركة == VARIATIONAL ITERATION METHOD FOR SOLVING SEDIMENTARY MOVING BOUNDARY VALUE PROBLEMS

Author name: امنية موفق محمد جواد
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

طرق تقريبية لحل المعادلات التفاضلية الاعتيادية الخطية الضبابية == Approximate Methods for Solving Linear Fuzzy Ordinary Differential Equations

Author name: حسن محمد صكبان
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

استقرارية النظام الديناميكي باستخدام تقنية الاختزال == Stability of Dynamical System Using Reduction Technique

Author name: مثنى اسماعيل زيدان
Supervisor name: علاء الدين نوري احمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

طريقة الخطوة التراجعية لاستقرار انواع معينة من المعادلات التفاضلية

Author name: سجى فائق نعمان
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

الحلول العددية لانظمة المعادلات التفاضلية ذات الرتب الكسرية == Numerical Solutions for Systems of Fractional Order Differential Equations

Author name: هدى اديب سالم
Supervisor name: اسامة حميد محمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

تعديلات على بعض التحويلات مع تطبيقات في معالجة الصور == Modifications with Applications of Some Transforms in Image Processing

Author name: مريم عبد الكريم عبد الرحمن
Supervisor name: علي حسن الفياض
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

حول دراسة حل المعادلات التفاضلية باستخدام المويجات == On Studying Solution of Differential Equations Using Wavelets

Author name: حسـن علي خوان
Supervisor name: علي حسن ناصر الفياض
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

الحلول العددية للمعادلات التفاضلية ذات الرتب الكسرية باستخدام طرائق المويجات == Numerical Solution of Fractional Order Differential Equations Using Wavelets Methods

Author name: حنين عبد الكريم امين
Supervisor name: اسامة حميد محمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

بعض الطرق التقريبية لحل المعادلات التفاضلية ذات الرتب الكسرية == SOME APPROXIMATE METHODS FOR SOLVING FRACTIONAL ORDER DIFFERENTIAL EQUATIONS

Author name: ضحى عامر جليل
Supervisor name: اسامة حميد محمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department of Mathematics and Computer Applications
Language: English
University location: Baghdad
First pages:

طريقة التغاير التكراري لحل معادلات ريكاتي التفاضلية ذات الرتب الكسرية == VARIATIONAL ITERATION METHOD FOR SOLVING RICCATI DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Author name: صابرين هاشم جاسم
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department of Mathematics and Computer Applications
Language: English
University location: Baghdad
First pages:

الحلول العددية لمسائل القيم الحدودية ذات الرتبة السرية == NUMERICAL SOLUTIONS OF FRACTIONAL ORDER BOUNDARY VALUE PROBLEMS

Author name: بشائر ممتاز عبد علي
Supervisor name: اسامه حميد محمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science
Language: English
University location: Baghdad

بعض مسائل الامثلية والمعولية في المجال الضبابي == Some Optimization and Reliability Problems in Fuzzy Envrionment

Author name: علي فريد جميل الجسار
Supervisor name: راضي علي زبون | فاضل عجب نهر
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: Arabic
University location: Baghdad
First pages:

بعض الحلول التقريبية للمعاد?ت التكاملية التفاضلية الكسرية == Some Approximate Solutions of Fractional Integro-Differential Equations

Author name: سماح محمد علي
Supervisor name: فاضل صبحي فاضل | اسامة حميد محمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

حلول تقريبية للمعادلات التفاضلية الجبرية ذات الرتب الكسرية == Approximate Solutions of Fractional Order Differential-Algebraic Equations

Author name: زهراء شاكر شايع صالح العبيدي
Supervisor name: علاء الدين نوري احمد | اسامة حميد محمد
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

دراسة بعض المعادلات التفاضلية الجزئية التصادفية == Study for Some of Stochastic Partial Differential Equations

Author name: دعاء خضير عبد علوان الصبيحي
Supervisor name: فاضل صبحي فاضل | شذى احمد عزيز
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

التنقيب عن البيانات باستخدام الع?قات الترابطية مع المنطق المشوش == Data Mining Using Association Rules with Fuzzy Logic

Author name: اماني محمد عبود
Supervisor name: سوسن كمال ثامر
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

بعض الطرق لحل المعادلات التفاضلية الجبرية == Some Methods for Solving The Differential-Algebraic Equations

Author name: الاء حسين خليل
Supervisor name: احلام جميل خليل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

توليد متغيرات بيتا باستخدام طرائق مونت كارلو لتخمين معلمات التوزيع == beta Distribution, Cumulative Distribution Function, Random Varieties, Simulation, Monte Carlo Method

Author name: اغصان بدر صالح القيسي
Supervisor name: اكرم محمد العبود
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics And Computer Applications
Language: English
University location: Baghdad
First pages:

حول قابلية السيطرة الاحتمالية لانظمة سيطرة غير خطية ماغيرة العشوائية == On Controllability Probabilities of Stochastic non - linear Control Systems

Author name: محمد عاشور شنيور داود
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science - Department Of Mathematics
Language: English
University location: Baghdad
First pages:
Abstract: The main aim of this thesis is focused on studying some non - linear uncertain stochastic dynamical system.The necessary background for stochastic process, stochastic integral for Brownian motion and fractional Brownian motion, stochastic dynamical system driven by Brownian motion and fractional Brownian motion are studied and discussed supported by useful comments and examples.Some class of non - linear stochastic ordinary control system driven by Brownian motion as well as fractional Brownian motion have been considered and discussed. ItoˆA necessary theorem of solvability and controllability of some class of non - linear dynamical control system driven by Brownian motion are discussed and proved using Banach fixed point theorem and supported by useful concluding remark and illustration.ItoˆA theorem of solvability and controllability of some class of non - linear dynamical system driven by fractional Brownian motion are also stated and proved supported by illustration.

قابلية الاستقرارية لنظام سيطرة غير خطي متغير العشوائية مع الزمن بوساطة مسيطر استرجاعي لمخرجات النظام == Stabilization of Nonlinear Stochastic Control System via Output - Feedback Control

Author name: ايناس عاجل جاسم محمد الركابي
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science
Language: English
University location: Baghdad
First pages:
Abstract: Stochastic differential equations are one of the most useful areas of the theory of stochastic processes and its applications in mathematics.Some nonlinear (Itô) 1 dynamic stochastic control system driven by Brownian motion 2 based on dynamic observer have been considered.Output feedback (observer - based) robust and optimal control law which guarantees global (local) asymptotic stable in probability for the nonlinear stochastic dynamic system are discuss and developed. The necessary theorems regarding the globalty asymptotic stable in the probability of the equilibrium point at the origin of the closed loop stochastic system have been developed and proved. The Lyapunov function approach of stochastic dynamic system has been adapted to justify our proofs.The inverse optimal stabilization in probability with suitable performance index has also discussed and developed. The necessary mathematical requirements have also been provided. Concluding remarks, future work, computational algorithm based on the theoretical results and illustrations have been presented.

قابلية الاستقرارية في نظام سيطرة غير خطي متغير العشوائية باستعمال الامثلية المعكوسة == Stochastic Nonlinear Control Stablizability Based on Invers Optimality

Author name: نورا علي عزيز
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science
Language: English
University location: Baghdad
First pages:
Abstract: The main aim of this work is focused on studying the global asymptotic stability in the probability for some class of closed - loop control system of Itotype in the presence of system uncertainty.Some nonlinear continuous - time Ito - dynamic stochastic system deriven by unbounded stochastic noise input have been considered, where the equilibrium point of the stochastic system is preserved even in the presence of noise .The global asymptotic stability in probability has been developed by using stabilization controller and Lyapunov stochastic approach.The stochastic Lyapunov function is computed to guarantee the global asymptotic stability in probability. Some resulte of estimation of exponential stability is also discussed.The necessary theorem for finding the controller design and stability Lyapunov stochastic function have been stated and proved which are supported by some concluding remarks and illustrations.

حول امثلية انظمة السيطرة المتابعة التصادفية اللاخطية == On Optimality of Stochastic Non - Linear Tracking Control System

Author name: مریم یاقو یوسف رمو
Supervisor name: راضي علي زبون الساعدي
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science
Language: English
University location: Baghdad
First pages:
Abstract: The tracking problem for differential stochastic equations in the presentof stochastic uncertainty of white noise, and control input have beenconsidered.In this work, our consideration have been focused on the case whereboth original dynamic state stochastic system and the desired stochasticdynamic system, are driven by white noise stochastic process.The main aim of this work is to make the behavior of the originaldynamic system following the behavior of the desired one for arbitrarycontroller, using tracking control system approach.The tracking and stabilizing controller that guarantee the optimumtracking error system between the original system and the desired one havebeen derived and developed.The necessary theorems for optimum tracking have been stated andproved supported with some concluding remarks. The controller can also beendivided into robust one and optimal one.The optimum controller can be obtained as a solution of some lineardeterministic differential Riccati equation, while the robust one can be obtained so that some controllability properties are ensured.The Riccati equation associated with linear stochastic optimal controller and tracking one, have also been desired and discussed.Finally some illustration ranking for time varying system and for law order differential system to larger one, have been illustrated, with details and corresponding Riccati equation for justification of the present work.

دوال السبلاين G - لتقريب حلول المعادلات التفاضلية الاعتيادية باستخدام طرائق متعددة الخطوات == G - Spline Interpolation for Approximating the Solution of the Ordinary Differential Equations Using Linear Multistep Methods

Author name: زهراء جواد كاظم السوداني
Supervisor name: فاضل صبحي فاضل
General topic: Mathematics
Specific topic: Mathematics
Degree: Master
University: Al-Nahrain University - College Of Science
Language: English
University location: Baghdad
First pages:
Abstract: The main objectives of this thesis, is oriented toward function approximation using special type of spline functions, which is called the “G - spline “including the details of the subject.The second objective consider the 1st order ordinary differential equations of the form : . ]b,a[x),y,x(F)x(y∈=′y(a)=. 0yWhere the study concern the approximate solution of the above differential equation using linear multistep methods based on G - spline interpolation and then a generalization to this approach have been extended to solve Boundary value problems of the second order ordinary differential equations.
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