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Results on controllability of non-densely characterized neutral fractional delay differential system

K. Jothimani, K. Kaliraj, Sumati Kumari Panda, Kotakkaran Sooppy Nisar, C. Ravichandran

2020Evolution equations and control theory57 citationsDOIOpen Access PDF

Abstract

<p style='text-indent:20px;'>This work establishes the controllability of nondense fractional neutral delay differential equation under Hille-Yosida condition in Banach space. The outcomes are derived with the aid of fractional calculus theory, semigroup operator theory and Schauder fixed point theorem. Theoretical results are verified through illustration.

Topics & Concepts

ControllabilityFixed-point theoremMathematicsBanach spaceSemigroupFractional calculusBanach fixed-point theoremOperator (biology)C0-semigroupAnalytic semigroupDifferential equationPure mathematicsMathematical analysisApplied mathematicsChemistryGeneTranscription factorRepressorBiochemistryNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsNumerical methods for differential equations
Results on controllability of non-densely characterized neutral fractional delay differential system | Litcius