An outlook on stability of implicit θ -Caputo fractional differential equation with application involving the Riemann-Stieltjes type

Abstract

The objective of the current article is to guarantee the solvability of implicit θ-Caputo fractional differential equations with integral boundary conditions. We establish the necessary conditions to guarantee unique solutions and demonstrate Ulam-Hyers-Rassias stability. Additionally, we include examples to illustrate the key findings.