Fuzzy Laplace transform method for a fractional fuzzy economic model based on market equilibrium

Fuzzy fractional models are of interest because they are very effective in describing real -world problems, but the analytical investigation of these models is often complex. Therefore, presenting a practical method for the analytical solution of these models is of particular importance. Hence, in this paper, first, the Laplace transform of the fuzzy ABC fractional derivative and its properties are introduced using the strongly generalized Hukuhara differentiability concept, and an analytical method for solving the fuzzy ABC fractional differential equation based on the Laplace transform is proposed. In the following, to show the comprehensiveness and appropriateness of the method, since the parameters are imprecise and ambiguous in economic problems, the price adjustment equation is modeled in the form of a fuzzy ABC fractional differential equation using the fuzzy ABC fractional derivative, and the fuzzy price for the adjustment equation is obtained using the proposed analytical fuzzy price. Finally, the effectiveness of the proposed approach is demonstrated with numerical examples.