Solving ‎S‎econd-Order Fuzzy Cauchy-Euler Initial Value Problems Under Generalized ‎Differentiability

In this paper, we study a class of second-order fuzzy initial value problems that are known as the Cauchy-Euler differential equations, in the crisp case. This work begins by studying the structure of solution function in the crisp case and providing a requirement space of the generalized differentiable functions. In sequel, the process of production and construction of the solution formula are discussed, in details. Finally, the obtained formulas are applied and illustrated by solving some examples.

Keywords:

معادلات دیفرانسیل , معادلات دیفرانسیل فازی , مشتق پذیری توسعه یافته , معادلات کوشی-اویلر