Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities
Youzheng Ding, Jiqiang Jiang, Donal O’Regan, Jiafa Xu
Abstract
In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.
Topics & Concepts
Hadamard transformMathematicsType (biology)Mathematical analysisDifferential (mechanical device)Nonlinear systemDifferential equationFractional calculusFixed-point theoremApplied mathematicsPhysicsQuantum mechanicsEcologyThermodynamicsBiologyNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods