Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators

The present research correlates with a fuzzy hybrid approach merged homotopy perturbation transform method known as the Shehu (SHPTM). With aid of Caputo and Atangana–Baleanu under generalized Hukuhara differentiability, we illustrate reliability this scheme by obtaining fractional Cauchy reaction–diffusion equations (CRDEs) initial conditions (ICs). Fractional CRDEs play vital role in diffusion instabilities may develop spatial phenomena such pattern formation. By considering set theory, proposed enables solution linear to be evaluated series expressions which components can efficiently identified generating pair approximate solutions uncertainty parameter λ∈[0,1]. To demonstrate usefulness capabilities suggested methodology, several numerical examples are examined validate convergence outcomes for supplied problem. simulation results reveal that SHPTM is viable strategy precisely accurately analyzing behavior model.