D-Index & Metrics Best Publications
Krishnan Balachandran

Krishnan Balachandran

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 4,942 282 World Ranking 2180 National Ranking 16

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Nonlinear system
  • Hilbert space

His main research concerns Mathematical analysis, Fixed-point theorem, Banach space, Controllability and Nonlinear system. His study in Fourier integral operator, Hilbert space and Approximation property falls under the purview of Mathematical analysis. The Fixed-point theorem study which covers Fractional calculus that intersects with Cauchy problem.

His research in Banach space intersects with topics in Semigroup, Type, Picard–Lindelöf theorem and Applied mathematics. His Controllability research is multidisciplinary, relying on both Dynamical systems theory, Order and Differential equation. His Nonlinear system research is multidisciplinary, incorporating perspectives in Fixed point, Integral equation and Theory of computation.

His most cited work include:

  • Controllability of nonlinear systems in Banach spaces: a survey (149 citations)
  • On recent developments in the theory of abstract differential equations with fractional derivatives (146 citations)
  • The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces (113 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of investigation include Mathematical analysis, Controllability, Nonlinear system, Fixed-point theorem and Banach space. His research on Mathematical analysis frequently connects to adjacent areas such as Type. Krishnan Balachandran combines subjects such as Dynamical systems theory, Observability and Banach fixed-point theorem with his study of Controllability.

His study looks at the relationship between Nonlinear system and topics such as Applied mathematics, which overlap with Uniqueness. His Fixed-point theorem study combines topics from a wide range of disciplines, such as Integral equation and Theory of computation. His study on Banach space is covered under Pure mathematics.

He most often published in these fields:

  • Mathematical analysis (64.94%)
  • Controllability (53.39%)
  • Nonlinear system (39.44%)

What were the highlights of his more recent work (between 2015-2020)?

  • Applied mathematics (20.72%)
  • Mathematical analysis (64.94%)
  • Nonlinear system (39.44%)

In recent papers he was focusing on the following fields of study:

Krishnan Balachandran mainly investigates Applied mathematics, Mathematical analysis, Nonlinear system, Controllability and Dynamical systems theory. His work on Fractional calculus and Levy noise as part of general Applied mathematics research is frequently linked to Order, thereby connecting diverse disciplines of science. His research ties Hopf bifurcation and Mathematical analysis together.

His Nonlinear system study incorporates themes from Fixed-point theorem, Contraction principle, Large deviations theory, Eigenfunction and Neutral systems. His Fixed-point theorem research incorporates themes from Dirichlet boundary condition and Resolvent. His Controllability study is concerned with the larger field of Control theory.

Between 2015 and 2020, his most popular works were:

  • Note on controllability of linear fractional dynamical systems (19 citations)
  • Finite‐time stability of fractional‐order stochastic singular systems with time delay and white noise (18 citations)
  • Stability and Hopf bifurcation of a diffusive predator-prey model with hyperbolic mortality (13 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Hilbert space
  • Algebra

Krishnan Balachandran spends much of his time researching Applied mathematics, Controllability, Nonlinear system, Mathematical analysis and Control theory. His work carried out in the field of Applied mathematics brings together such families of science as Uniqueness, Prey predator and Delay differential equation. Many of his studies on Controllability involve topics that are commonly interrelated, such as Dynamical systems theory.

The various areas that Krishnan Balachandran examines in his Nonlinear system study include Bounded operator, Dynamical system, Matrix, Langevin equation and Fixed-point theorem. Krishnan Balachandran has included themes like Differential systems and Dirichlet boundary condition in his Fixed-point theorem study. He studies Fractional calculus which is a part of Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Controllability of nonlinear systems in Banach spaces: a survey

K. Balachandran;J. P. Dauer.
Journal of Optimization Theory and Applications (2002)

244 Citations

On recent developments in the theory of abstract differential equations with fractional derivatives

Eduardo Hernández;Donal O’Regan;Krishnan Balachandran.
Nonlinear Analysis-theory Methods & Applications (2010)

224 Citations

The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces

Krishnan Balachandran;Juan J. Trujillo.
Nonlinear Analysis-theory Methods & Applications (2010)

199 Citations

Existence results for fractional impulsive integrodifferential equations in Banach spaces

K. Balachandran;S. Kiruthika;J.J. Trujillo.
Communications in Nonlinear Science and Numerical Simulation (2011)

193 Citations

Nonlocal Cauchy problem for abstract fractional semilinear evolution equations

K. Balachandran;J.Y. Park.
Nonlinear Analysis-theory Methods & Applications (2009)

151 Citations

Controllability of nonlinear systems via fixed-point theorems

K. Balachandran;J. P. Dauer.
Journal of Optimization Theory and Applications (1987)

133 Citations

Semi-Generalized Continuous Maps and Semi-T1/2 Spaces

P. Sundaram;春夫 牧;K. Balachandran.
福岡教育大学紀要 第3分冊 数学・理科・技術編 (1991)

110 Citations

Controllability of fractional integrodifferential systems in Banach spaces

K. Balachandran;K. Balachandran;J.Y. Park.
Nonlinear Analysis: Hybrid Systems (2009)

104 Citations

Controllability of nonlinear fractional dynamical systems

K. Balachandran;J.Y. Park;J.J. Trujillo.
Nonlinear Analysis-theory Methods & Applications (2012)

101 Citations

EXISTENCE OF SOLUTIONS OF ABSTRACT FRACTIONAL IMPULSIVE SEMILINEAR EVOLUTION EQUATIONS

Krishnan Balachandran;S. Kiruthika.
Electronic Journal of Qualitative Theory of Differential Equations (2010)

99 Citations

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Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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