Existence and Stability Results for Caputo-Type Sequential Fractional Differential Equations with New Kind of Boundary Conditions

In this paper, we present the existence and stability results for a nonlinear coupled system of sequential fractional differential equations supplemented with new kind boundary conditions. Existence uniqueness are established by using Schaefer’s fixed point theorem Banach’s contraction mapping principle. We examine solutions involved in Hyers–Ulam type. A few examples presented to illustrate main results.