Functional Differential Equations Involving the ψ-Caputo Fractional Derivative
Ricardo Almeida
Abstract
This paper is devoted to the study of existence and uniqueness of solutions for fractional functional differential equations, whose derivative operator depends on an arbitrary function. The introduction of such function allows generalization of some known results, and others can be also obtained.
Topics & Concepts
Fractional calculusGeneralizationUniquenessMathematicsDerivative (finance)Operator (biology)Differential equationFunction (biology)Mathematical analysisApplied mathematicsDifferential operatorGeneralizations of the derivativeFunctional derivativeFinancial economicsBiologyBiochemistryChemistryGeneEvolutionary biologyEconomicsRepressorTranscription factorFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods