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Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann-Stieltjes Integral Boundary Conditions
Journal article   Open access  Peer reviewed

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

Ahmed Salem and Lamya Almaghamsi
Symmetry (Basel), Vol.13(11), p.2123
01/11/2021
DOI: https://doi.org/10.3390/sym13112123

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
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. A numerical example explaining our result is attached.
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https://doi.org/10.3390/sym13112123View
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