Analytical and Numerical Investigations on the Existence and Stability of Fractional p‐Laplacian Equations Subject to Integral Boundary Conditions

ABSTRACT This work aims to carry out a detailed investigation on the existence, uniqueness, and stability of the solutions of ‐Laplacian Caputo fractional differential equations with integral boundary condition. To begin, the properties of the associated Green's functions are derived. Next, the existence and uniqueness of the solutions are then examined by employing two classical fixed point theorems. Additionally, we verify that the formulated problem preserves its stability in the sense defined by Ulam–Hyers. Examples including tables and figures with numerical results are provided to illustrate the applications of our findings.