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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Autores principales:	Ahmed Salem, Lamya Almaghamsi
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	coupled system fractional Langevin equations Stieltjes integral boundary conditions Shauder fixed-point theorem existence Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a23ae00c21684753998855901b33b847
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spelling	oai:doaj.org-article:a23ae00c21684753998855901b33b8472021-11-25T19:06:54ZExistence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions10.3390/sym131121232073-8994https://doaj.org/article/a23ae00c21684753998855901b33b8472021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2123https://doaj.org/toc/2073-8994By 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.Ahmed SalemLamya AlmaghamsiMDPI AGarticlecoupled systemfractional Langevin equationsStieltjes integral boundary conditionsShauder fixed-point theoremexistenceMathematicsQA1-939ENSymmetry, Vol 13, Iss 2123, p 2123 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	coupled system fractional Langevin equations Stieltjes integral boundary conditions Shauder fixed-point theorem existence Mathematics QA1-939
spellingShingle	coupled system fractional Langevin equations Stieltjes integral boundary conditions Shauder fixed-point theorem existence Mathematics QA1-939 Ahmed Salem Lamya Almaghamsi Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions
description	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.
format	article
author	Ahmed Salem Lamya Almaghamsi
author_facet	Ahmed Salem Lamya Almaghamsi
author_sort	Ahmed Salem
title	Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions
title_short	Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions
title_full	Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions
title_fullStr	Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions
title_full_unstemmed	Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions
title_sort	existence solution for coupled system of langevin fractional differential equations of caputo type with riemann–stieltjes integral boundary conditions
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/a23ae00c21684753998855901b33b847
work_keys_str_mv	AT ahmedsalem existencesolutionforcoupledsystemoflangevinfractionaldifferentialequationsofcaputotypewithriemannstieltjesintegralboundaryconditions AT lamyaalmaghamsi existencesolutionforcoupledsystemoflangevinfractionaldifferentialequationsofcaputotypewithriemannstieltjesintegralboundaryconditions
_version_	1718410295323394048

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

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