Application of fuzzy Picard method for solving fuzzy quadratic Riccati and fuzzy Painlevé I equations

In this research, we adopted the Picard method for solving the quadratic Riccati and the Painlevé I equations under fuzzy environment and generalized H-differentiability. We provide the existence and uniqueness theorem for solving the differential equations. The convergence of the proposed fuzzy Picard method is also investigated. Finally, various computational experiments are carried out to assess the proposed method.