An interpretation on controllability of Hilfer fractional derivative with nondense domain
C. Ravichandran, K. Jothimani, Kottakkaran Sooppy Nisar, Emad E. Mahmoud, I.S. Yahia
Abstract
Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with controllability results by Darbo-Sadavoskii fixed point theorem. Obtained results enhanced via the numerical approximation with the graphical approach.
Topics & Concepts
ControllabilityMathematicsFractional calculusBanach spaceOperator (biology)Fixed-point theoremDomain (mathematical analysis)Derivative (finance)Applied mathematicsControl theory (sociology)Mathematical analysisComputer scienceEconomicsFinanceControl (management)ChemistryBiochemistryArtificial intelligenceRepressorTranscription factorGeneNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsNumerical methods for differential equations