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

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....

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Bibliographic Details
Published inSymmetry (Basel) Vol. 13; no. 11; p. 2123
Main Authors Salem, Ahmed, Almaghamsi, Lamya
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.11.2021
Subjects
Boundary conditions
Differential equations
Existence theorems
Fixed points (mathematics)
Noise
Stieltjes integral
Symmetry
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Summary: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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ISSN:2073-8994
2073-8994
DOI:10.3390/sym13112123