Existence and U-H-R Stability of Solutions to the Implicit Nonlinear FBVP in the Variable Order Settings

In this paper, the existence of solution and its stability to fractional boundary value problem (FBVP) were investigated for an implicit nonlinear differential equation (VOFDE) variable order. All criteria solutions in our establishments derived via Krasnoselskii’s fixed point theorem sequel, Ulam–Hyers–Rassias (U-H-R) is checked. An illustrative example presented at end paper validate findings.