Application of Fractional Integral Transform in Fuzzy Differential Equations

This chapter has included the application of fractional integral transform in the fuzzy field by presenting the solution of fuzzy fractional differential equations with the help of different integral transforms Laplace, Mellin, and Sumudu fuzzy transforms. These integral transforms are properly defined with their operational properties and are particularly described in differential and integral fractional calculus. The main results and discussion of the present research study about the applications of fractional integral transform are analyzed in this chapter with analytical solutions. The key features of this work are to discuss different integral transforms in a fuzzy theory and name it fuzzy integral transform with all its basic concepts. A procedure is established to solve fuzzy initial value problems (FIVP) by the fractional Mellin transforms and fractional Laplace and fractional Sumudu integral transform techniques, by applying the differential properties of fractional integral transforms, under a mathematical framework to solve the several types of differential equations.