Fuzzy Differential Equations and Applications for Engineers and Scientists

Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas.\n\nIn general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique work?provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems. Additional ISBNs 1315372851, 1482244764, 148224473X, 9781315372853, 9781482244762, 9781482244731Fuzzy Differential Equations and Applications for Engineers and Scientists 1st Edition is written by S. Chakraverty; Smita Tapaswini; Diptiranjan Behera and published by CRC Press. ISBNs for Fuzzy Differential Equations and Applications for Engineers and Scientists are 9781315355535, 1315355531 and the print ISBNs are 9781482244731, 148224473X. Additional ISBNs include 1315372851, 1482244764, 148224473X, 9781315372853, 9781482244762, 9781482244731.