Explicit solutions of initial value problems for systems of linear Riemann–Liouville fractional differential equations with constant delay
Snezhana Hristova, Ravi P. Agarwal, Donal O’Regan
Abstract
Abstract A system of linear Riemann–Liouville fractional differential equations with constant delay is studied. The initial condition is set up similar to the case of the ordinary derivative. Explicit formulas for the solutions are obtained for various initial functions.
Topics & Concepts
MathematicsConstant (computer programming)Ordinary differential equationMathematical analysisFractional calculusConstant coefficientsDerivative (finance)Initial value problemLinear differential equationPartial differential equationExponential integratorDifferential equationApplied mathematicsDifferential algebraic equationFinancial economicsProgramming languageEconomicsComputer scienceDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems