On a System of Hadamard Fractional Differential Equations with Nonlocal Boundary Conditions on an Infinite Interval
Rodica Luca, Alexandru Tudorache
Abstract
Our research focuses on investigating the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations. These equations are defined on an infinite interval and involve non-negative nonlinear terms. Additionally, they are subject to nonlocal coupled boundary conditions, incorporating Riemann–Stieltjes integrals and Hadamard fractional derivatives. To establish the main theorems, we employ the Guo–Krasnosel’skii fixed point theorem and the Leggett–Williams fixed point theorem.
Topics & Concepts
Hadamard transformMathematicsFixed-point theoremMathematical analysisNonlinear systemFractional calculusInterval (graph theory)Riemann–Stieltjes integralBoundary value problemHadamard three-lines theoremPure mathematicsIntegral equationPhysicsHadamard productCombinatoricsQuantum mechanicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods