Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions

• Published in: Symmetry (Basel) Vol. 13; no. 11; p. 2123
• Main Authors: Salem, Ahmed, Almaghamsi, Lamya
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.11.2021
• Subjects: Boundary conditions; Differential equations; Existence theorems; Fixed points (mathematics); Noise; Stieltjes integral; Symmetry

By employing Shauder fixed-point theorem, this work tries to obtain the existence results for the solution of a nonlinear Langevin coupled system of fractional order whose nonlinear terms depend on Caputo fractional derivatives. We study this system subject to Stieltjes integral boundary conditions....