Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with p-Laplacian

This paper deals with existence, uniqueness, and Hyers–Ulam stability of solutions to a nonlinear coupled implicit switched singular fractional differential system involving Laplace operator φ ₚ ϕp . The proposed problem consists of two kinds of fractional derivatives, that is, Riemann–Liouville fractional derivative of orderβand Caputo fractional derivative of orderσ, where m-1<β m−1<β , σ < m σ