الفهرس | Only 14 pages are availabe for public view |
Abstract In mathematics integral equations are equations in which an unknown functi on appears under an integral sign. There is a close connection between differential and integral eq uations, and some problems may be formulated either way . I ntegral equations topics have been of increasing interest for some time, particularly in physics, geogra phy, medicine and biology. Integral equations represent one of the most important tools in sol ving numerous types of applications in almost every branch of science since many mathematical models and physical processes usually governed by this type of equations. V arious analytical and numerical techniques have been proposed for solving different kin ds of integral equations. These methods often use a set of basis functions and obtain an approximate solution for this system. Also, t he study of fuzzy integral equations is an emerging area of research. When a physical system is modeled under the differen tial sense; it finally gives a differential equation, an integral equation or an integro - differential equation The solution of integral and integro - differential equations have a major role in the fields of science and engineering. Some numerical methods for solving these equations have b een proposed by several authors. The fuzzy differential and integral equations are important part of the fuzzy analysis theory and they have the important value of theory and application in control theory |