New Approach on Controllability of Hilfer Fractional Derivatives With Nondense Domain
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Abstract
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 Winch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.
Description
K, Jothimani/0000-0002-5822-0386
Keywords
Controllability, Hilfer Derivative, Nondense Domain, Fixed Point, Banach Space, Fractional Calculus, Controllability, fractional calculus, controllability, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, Work (physics), Anomalous Diffusion Modeling and Analysis, Banach space, Domain (mathematical analysis), nondense domain, Applied Mathematics, Physics, Fractional calculus, Pure mathematics, Applied mathematics, Fractional Derivatives, hilfer derivative, fixed point, Modeling and Simulation, Physical Sciences, Thermodynamics, Geometry and Topology, Uniqueness, banach space, Mathematics
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Nisar, Kottakkaran Sooppy;...et.al. (2022). "New approach on controllability of Hilfer fractional derivatives with nondense domain", AIMS Mathematics, Vol.7, No.6, pp.10079-10095.
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OpenCitations Citation Count
21
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Volume
7
Issue
6
Start Page
10079
End Page
10095
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Scopus : 25
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