NATIONAL BIBLIOGRAPHY NUMBER
Number
۲۱۳۵۵پ
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
per
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
حساب دیفرانسیل توابع چند متغیره فازی و کاربرهای آن در معادلات دیفرانسیل با مشتقات جزئی فازی
Parallel Title Proper
Differential calculus of fuzzy multi-variable functions and its applications to fuzzy partial differential equations
First Statement of Responsibility
/صنم پرویزی
.PUBLICATION, DISTRIBUTION, ETC
Name of Publisher, Distributor, etc.
: علوم ریاضی
Date of Publication, Distribution, etc.
، ۱۳۹۸
Name of Manufacturer
، راشدی
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
۸۹ص
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
چاپی - الکترونیکی
DISSERTATION (THESIS) NOTE
Dissertation or thesis details and type of degree
دکتری
Discipline of degree
ریاضی کاربردی
Date of degree
۱۳۹۸/۰۴/۱۹
Body granting the degree
تبریز
SUMMARY OR ABSTRACT
Text of Note
In real world, uncertainty are observed in phenomena such as string vibration, fluid temperature changes, traffic problems and population dispersion, and so on involved. A set of mathematical models governing these fuzzy phenomena are fuzzy partial differential equations. For this purpose, in this thesis, we deal with differential calculus of multi-variable functions with uncertain parameters and its application to fuzzy partial differential equations. Because directional derivatives play crucial role in the calculus of the multi-variable functions, we first, introduce the fuzzy directional derivative and investigate the uncertainty of a fuzzy multi-variable function in different directions. Then, the rules related to the directional derivatives of summations, H-difference of two fuzzy multi-variable functions are demonstrated. Since, Greens first identity have interesting applications in partial differential equations, the remainder of the thesis deals with the expression of Greens first identity in fuzzy state, which has been used to prove the accuracy of this equation in relation to fuzzy directional derivatives. One of the other applications of directional derivatives appears in Neumann boundary value problems, which is examined for the similar problems with uncertain. This problem in this thesis by expressing an applied example of this type of problems is realized. Finally, in this thesis, using the concepts of strongly generalized derivative, the fuzzy wave equation is investigated and different forms of the solution are presented according to the type of the involving derivatives
PARALLEL TITLE PROPER
Parallel Title
Differential calculus of fuzzy multi-variable functions and its applications to fuzzy partial differential equations
PERSONAL NAME - PRIMARY RESPONSIBILITY
پرویزی، صنم
Parvizi, Sanam
PERSONAL NAME - SECONDARY RESPONSIBILITY
بهرامی، فریبا، استاد راهنما
علیخانی، رباب، استاد راهنما
ELECTRONIC LOCATION AND ACCESS
Public note
سیاه و سفید
نمایه‌سازی قبلی
