Existence Solution for Coupled System of Langevin Fractional Differential Equations of Caputo Type with Riemann–Stieltjes Integral Boundary Conditions
Ahmed Salem, Lamya Almaghamsi
Abstract
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.
Topics & Concepts
Riemann–Stieltjes integralMathematicsNonlinear systemType (biology)Mathematical analysisFractional calculusFixed-point theoremOrder (exchange)Work (physics)Integral equationBoundary value problemBoundary (topology)PhysicsThermodynamicsEcologyEconomicsFinanceQuantum mechanicsBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods