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العنوان
Solution Of some classes Of nonlinear Fuzzy differential and integral equations /
المؤلف
Mohammed, Marwa Ahmed Shehata.
هيئة الاعداد
باحث / مروه احمد شحاته محمد
مشرف / إبراهيم لطفي حسن القلا
مشرف / محمد شكري نايل
مشرف / رضا عبده عبدالمنعم
الموضوع
Classes Of nonlinear.
تاريخ النشر
2023.
عدد الصفحات
96 p. :
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الهندسة (متفرقات)
تاريخ الإجازة
1/1/2023
مكان الإجازة
جامعة المنصورة - كلية الهندسة - قسم الرياضيات والفيزياء الهندسية
الفهرس
Only 14 pages are availabe for public view

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from 96

Abstract

Solution Of Some Classes Of nonlinear Fuzzy differential and integral equations In recent years, many scientists and academics have become interested in fuzzy integral equations of the second kind. These equations are frequently used in economic systems, approximation reasoning, fuzzy control, and fuzzy finance. Integral equations and differential equations are as well used to model dynamical systems from mathematical biology, where analyses of dynamical systems modeling chemotaxis mechanisms are developed.The thesis discusses how to solve the Volterra Integral Equation (VIE) by using several different definitions, including Fuzzy Riemann (FR), Fuzzy Aumann (FA) and Fuzzy Henstock (FH). These definitions are easy to deal with with this type of equation. The thesis also explains how to take advantage of the Adomian Decomposition method (ADM) on examples of fuzzy integral equations and picture fuzzy integral equations. The existence of the solution was studied, the convergence was proven, and the error was found. Numerical examples were presented to verify the effctiveness of the solution using the MATHEMATICA package.