Existence Results for Coupled Nonlinear Sequential Fractional Differential Equations with Coupled Riemann–Stieltjes Integro-Multipoint Boundary Conditions
Ymnah Alruwaily, Bashir Ahmad, Sotiris K. Ntouyas, Ahmed S. M. Alzaidi
Abstract
This paper is concerned with the existence of solutions for a fully coupled Riemann–Stieltjes, integro-multipoint, boundary value problem of Caputo-type sequential fractional differential equations. The given system is studied with the aid of the Leray–Schauder alternative and contraction mapping principle. A numerical example illustrating the abstract results is also presented.
Topics & Concepts
Riemann–Stieltjes integralMathematicsNonlinear systemBoundary value problemMathematical analysisContraction (grammar)Type (biology)Differential equationApplied mathematicsIntegral equationPhysicsQuantum mechanicsBiologyInternal medicineMedicineEcologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems