Author
V. Vijayakumar
Bio: V. Vijayakumar is an academic researcher from VIT University. The author has contributed to research in topics: Controllability & Mathematics. The author has an hindex of 8, co-authored 32 publications receiving 208 citations.
Papers
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TL;DR: In this article, solid hybrid nanofluid flowing and thermal transport characteristics over a slippery, nonlinear, uniform stretching surface are proposed and the influence of nanosolid particle shapes, permeability material, viscous dissipative flow, Cattaneo-Christov heat flux and radiate flux are studied.
96 citations
TL;DR: In this paper, approximate controllability for fractional differential evolution equations of order 1 is studied. But this paper is mainly focusing on approximate control of fractional DDEs.
Abstract: This manuscript is mainly focusing on approximate controllability for fractional differential evolution equations of order 1
60 citations
TL;DR: In this article, the existence and controllability of fractional integro-differential systems of order 1 was studied and the authors mainly focused on the existence of a fractional integral differential system.
Abstract: This manuscript is mainly focusing on the existence and controllability of fractional integro-differential system of order 1
60 citations
TL;DR: In this article, the approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type which generalized the Riemann-Liouville fractional derivative was studied.
Abstract: The basic motivation of this research paper is the approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type which generalized the Riemann-Liouville fractional derivative. Combining with the techniques of fractional calculus, fixed point theorem for multi-value dmaps and Sobolev-type and Clarke subdifferential to the approximate controllability system we obtain new existence result of mild solutions. Next, we demonstrate linear and semilinear systems for approximate controllability. Finally, to verify our theoretical results, an illustration is also included.
55 citations
TL;DR: A group of sufficient conditions of approximate controllability for second order nonlocal neutral differential evolution inclusions is organized and the result to analyze approximate controLLability of impulsive systems is developed.
Abstract:
In our manuscript, we organize a group of sufficient conditions of approximate controllability for second order nonlocal neutral differential evolution inclusions. Next, we develop the result to analyze approximate controllability of impulsive systems. Lastly, a model is presented for illustration of theory.
54 citations
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Book•
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01 Jan 1982
TL;DR: Theorem of Borsuk and Topological Transversality as mentioned in this paper, the Lefschetz-Hopf Theory, and fixed point index are the fundamental fixed point theorem.
Abstract: Elementary Fixed Point Theorems * Theorem of Borsuk and Topological Transversality * Homology and Fixed Points * Leray-Schauder Degree and Fixed Point Index * The Lefschetz-Hopf Theory * Selected Topics * Index
688 citations
TL;DR: It is concluded from the present findings that, the Al2O3 nanoparticle can be used as an alternative antibacterial agent for the urinary bacterial diseases after completing successful clinical trials.
80 citations
TL;DR: In this paper, the authors examined the properties of hybrid nanofluid flowing properties and thermal transport passing through a slippy surface, including the Inclined magnetic field, viscous dissipation, inclined joule heating, and thermal radiative impacts.
74 citations
TL;DR: In this paper, the authors mainly focus on the approximate controllability of Hilfer fractional neutral stochastic integro-differential equations and provide theoretical and practical applications to assist in the effectiveness of the discussion.
Abstract: This manuscript is mainly focusing on the approximate controllability of Hilfer fractional neutral stochastic integro-differential equations. The principal results of this article are proved based on the theoretical concepts related to the fractional calculus and Schauder’s fixed-point theorem. Initially, we discuss the approximate controllability of the fractional evolution system. Then, we extend our results to the concept of nonlocal conditions. Finally, we provide theoretical and practical applications to assist in the effectiveness of the discussion.
66 citations
TL;DR: A review of the thermal properties of nanofluids can be found in this article , where the authors discuss the various parameters that have been found to impact the thermal behavior in general significantly and the thermal conductivity of these nanometrics, including particle size and shape, pH of the fluids, surfactant, solvent type, hydrogen bonding, temperature, base fluids, and particular interest here, the alignment of the nanoparticles utilized (carbon nanotubes, Graphene, and metal oxides nanoparticles).
63 citations