On a Coupled System of Fractional Differential Equations via the Generalized Proportional Fractional Derivatives
Mohamed I. Abbas, Mehran Ghaderi, Shahram Rezapour, Sabri T. M. Thabet
Abstract
This work investigates the existence and uniqueness of solutions for a coupled system of fractional differential equations with three-point generalized fractional integral boundary conditions within generalized proportional fractional derivatives of the Riemann-Liouville type. By using the Schauder and Banach fixed point theorems, we study the existence and uniqueness of solutions for the aforesaid system. Finally, we present an example to validate our theoretical outcomes.
Topics & Concepts
MathematicsUniquenessFractional calculusFixed-point theoremMathematical analysisType (biology)Banach fixed-point theoremBoundary value problemApplied mathematicsEcologyBiologyFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Boundary Problems