Existence and Compactness Results for a System of Fractional Differential Equations
Cheikh Guendouz, Jamal Eddine Lazreg, Juan J. Nieto, Abdelghani Ouahab
Abstract
The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operator solutions.
Topics & Concepts
Compact spaceMathematicsFractional calculusUniquenessBanach spaceFixed-point theoremC0-semigroupMathematical analysisOperator (biology)Pure mathematicsDifferential equationPicard–Lindelöf theoremApplied mathematicsRepressorChemistryGeneBiochemistryTranscription factorFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods