D-Index & Metrics Best Publications
Mathematics
India
2023

D-Index & Metrics 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.

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 54 Citations 8,198 274 World Ranking 633 National Ranking 2

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in India Leader Award

Overview

What is she best known for?

The fields of study she is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Botany

Mathematical analysis, Applied mathematics, Laplace transform, Uniqueness and Nonlinear system are her primary areas of study. Her Mathematical analysis research is multidisciplinary, relying on both Homotopy perturbation and Vibration. Her Applied mathematics research is multidisciplinary, incorporating perspectives in Numerical analysis, Fixed-point theorem, Order and Algebraic equation.

Her Laplace transform research incorporates elements of Homotopy, Homotopy analysis method, Work and Thermal conduction. As a part of the same scientific study, Devendra Kumar usually deals with the Uniqueness, concentrating on Fractional calculus and frequently concerns with Iterative method, Type, Ordinary differential equation and Partial differential equation. Her study explores the link between Nonlinear system and topics such as Simple that cross with problems in Drinfeld–Sokolov–Wilson equation and Discretization.

Her most cited work include:

  • A fractional epidemiological model for computer viruses pertaining to a new fractional derivative (252 citations)
  • Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel (143 citations)
  • A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws (122 citations)

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

Devendra Kumar focuses on Applied mathematics, Mathematical analysis, Fractional calculus, Nonlinear system and Laplace transform. Her work investigates the relationship between Applied mathematics and topics such as Partial differential equation that intersect with problems in Ordinary differential equation. Devendra Kumar interconnects Homotopy analysis method and Homotopy perturbation method in the investigation of issues within Mathematical analysis.

Her biological study spans a wide range of topics, including Iterative method, Type and Uniqueness. Devendra Kumar usually deals with Nonlinear system and limits it to topics linked to Convergent series and Linearization. Her study connects Homotopy and Laplace transform.

She most often published in these fields:

  • Applied mathematics (32.53%)
  • Mathematical analysis (29.72%)
  • Fractional calculus (22.09%)

What were the highlights of her more recent work (between 2019-2021)?

  • Applied mathematics (32.53%)
  • Fractional calculus (22.09%)
  • Nonlinear system (21.29%)

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

Devendra Kumar mostly deals with Applied mathematics, Fractional calculus, Nonlinear system, Function and Laplace transform. She combines subjects such as Integral transform, Homotopy, Fixed-point theorem, Uniqueness and Order with her study of Applied mathematics. The subject of her Fractional calculus research is within the realm of Mathematical analysis.

Devendra Kumar works in the field of Mathematical analysis, namely Parabolic partial differential equation. Her Nonlinear system research is multidisciplinary, incorporating elements of Computation, Work and Convergent series. Her Laplace transform study deals with Scheme intersecting with Integral equation.

Between 2019 and 2021, her most popular works were:

  • On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law (109 citations)
  • A new analysis of fractional Drinfeld–Sokolov–Wilson model with exponential memory (70 citations)
  • An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets (68 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Botany

Her primary areas of study are Applied mathematics, Fractional calculus, Nonlinear system, Order and Integral transform. Her Applied mathematics research integrates issues from Homotopy, Laplace transform, Fixed-point theorem and Uniqueness. Her Uniqueness study incorporates themes from Fractional operator, Displacement and Work.

Her research integrates issues of Vibration, Partial differential equation, Fokker–Planck equation and Ordinary differential equation in her study of Fractional calculus. Her studies link Type with Nonlinear system. Her study looks at the relationship between Order and topics such as Computer simulation, which overlap with Klein–Gordon equation and Schrödinger equation.

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

A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

Jagdev Singh;Devendra Kumar;Zakia Hammouch;Abdon Atangana.
Applied Mathematics and Computation (2018)

382 Citations

A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

Jagdev Singh;Devendra Kumar;Zakia Hammouch;Abdon Atangana.
Applied Mathematics and Computation (2018)

382 Citations

Advance research progresses in aluminium matrix composites: manufacturing & applications

Pulkit Garg;Anbesh Jamwal;Devendra Kumar;Kishor Kumar Sadasivuni.
Journal of materials research and technology (2019)

249 Citations

An efficient analytical technique for fractional model of vibration equation

H.M. Srivastava;H.M. Srivastava;Devendra Kumar;Jagdev Singh.
Applied Mathematical Modelling (2017)

191 Citations

An efficient analytical technique for fractional model of vibration equation

H.M. Srivastava;H.M. Srivastava;Devendra Kumar;Jagdev Singh.
Applied Mathematical Modelling (2017)

191 Citations

Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel

Devendra Kumar;Jagdev Singh;Dumitru Baleanu;Sushila.
Physica A-statistical Mechanics and Its Applications (2018)

187 Citations

Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel

Devendra Kumar;Jagdev Singh;Dumitru Baleanu;Sushila.
Physica A-statistical Mechanics and Its Applications (2018)

187 Citations

A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws

Devendra Kumar;Jagdev Singh;Kumud Tanwar;Dumitru Baleanu.
International Journal of Heat and Mass Transfer (2019)

184 Citations

A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws

Devendra Kumar;Jagdev Singh;Kumud Tanwar;Dumitru Baleanu.
International Journal of Heat and Mass Transfer (2019)

184 Citations

On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law

Devendra Kumar;Jagdev Singh;Dumitru Baleanu.
Mathematical Methods in The Applied Sciences (2020)

179 Citations

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