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New approach on controllability of Hilfer fractional derivatives with nondense domain

Kottakkaran Sooppy Nisar, K. Jothimani, C. Ravichandran, Dumitru Bǎleanu, Devendra Kumar

2022AIMS Mathematics24 citationsDOIOpen Access PDF

Abstract

<abstract><p>This work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Mönch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.</p></abstract>

Topics & Concepts

ControllabilityMathematicsUniquenessBanach spaceFractional calculusDomain (mathematical analysis)Work (physics)Applied mathematicsPure mathematicsMathematical analysisPhysicsThermodynamicsFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisFixed Point Theorems Analysis
New approach on controllability of Hilfer fractional derivatives with nondense domain | Litcius