Solving Thermal System Using New Fuzzy Transform

Abstract

Integral transforms are successful tool for solving mathematical problems in variant fields such as physics, medicine, chemistry and engineering applications. In this research, a new integral transform is introduced which is called “Ro-transform”, basic definitions and theorems have been studied. Moreover, the technique of fuzzy logic introduces for this new integral transform to obtain fuzzy Ro-transform with its theorems, properties and illustrated examples such as a physical problem about heating system. Finally, two integral transforms formulas are derived due to the expansion the kernel function in Ro-transform.