Semi-Analytical Solutions for Fuzzy Caputo–Fabrizio Fractional-Order Two-Dimensional Heat Equation

In the analysis in this article, we developed a scheme for computation of semi-analytical solution to fuzzy fractional-order heat equation two dimensions having some external diffusion source term. For this, applied Laplace transform along with decomposition techniques and Adomian polynomial under Caputo–Fabrizio fractional differential operator. Furthermore, obtaining series-type solution, unknown quantity its addition established said solution. The obtained series was calculated approached approximate proposed equation. validation our scheme, three different examples have been provided, solutions were form. All illustrations simulated orders between 0 1 upper lower portions operator is nonsingular global due presence exponential function. It globalizes dynamical behavior equation, which guaranteed all types lying at any order. fuzziness also included number providing form, branches.