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 48 Citations 6,788 198 World Ranking 902 National Ranking 7

Research.com Recognitions

Awards & Achievements

2023 - Research.com Mathematics in India Leader Award

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His main research concerns Mathematical analysis, Laplace transform, Uniqueness, Applied mathematics and Fractional calculus. As part of one scientific family, he deals mainly with the area of Mathematical analysis, narrowing it down to issues related to the Vibration, and often Analytic solution and Laplace's equation. He has included themes like Exothermic reaction, Steady state, Work and Homotopy, Homotopy analysis method in his Laplace transform study.

His Homotopy study combines topics in areas such as Scheme and Nonlinear system. The concepts of his Applied mathematics study are interwoven with issues in Operational matrix, Algebraic equation, System of differential equations and Collocation method. His work deals with themes such as Type, Partial differential equation, Iterative method, Fixed-point theorem and Ordinary differential equation, which intersect with Fractional calculus.

His 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 his work throughout his whole career to date?

His scientific interests lie mostly in Applied mathematics, Mathematical analysis, Fractional calculus, Nonlinear system and Laplace transform. His Applied mathematics study integrates concerns from other disciplines, such as Order, Function, Fixed-point theorem and Work. His work carried out in the field of Mathematical analysis brings together such families of science as Homotopy perturbation, Homotopy analysis method and Homotopy perturbation method.

His Fractional calculus research incorporates themes from Iterative method, Partial differential equation, Type and Uniqueness. Scheme is closely connected to Homotopy in his research, which is encompassed under the umbrella topic of Nonlinear system. His research in Laplace transform is mostly focused on Laplace transform applied to differential equations.

He most often published in these fields:

  • Applied mathematics (31.07%)
  • Mathematical analysis (31.07%)
  • Fractional calculus (25.73%)

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

  • Applied mathematics (31.07%)
  • Fractional calculus (25.73%)
  • Function (7.77%)

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

Jagdev Singh mainly investigates Applied mathematics, Fractional calculus, Function, Nonlinear system and Work. His Applied mathematics research integrates issues from Laplace transform, Homotopy, Fixed-point theorem, Uniqueness and Order. His Laplace transform research is multidisciplinary, incorporating elements of Scheme and Algebraic equation.

His Fractional calculus study is focused on Mathematical analysis in general. His study in the field of Stochastic partial differential equation is also linked to topics like Fractional Brownian motion. The study incorporates disciplines such as Non-Newtonian fluid and Series, Convergent series in addition to Nonlinear system.

Between 2019 and 2021, his 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 his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His primary scientific interests are in Applied mathematics, Fractional calculus, Nonlinear system, Fixed-point theorem and Laplace transform. His Applied mathematics research is multidisciplinary, relying on both Homotopy, Order and Uniqueness. His biological study spans a wide range of topics, including Fixed point and Work.

His Fractional calculus research includes themes of Vibration, Partial differential equation, Ordinary differential equation and Sumudu transform. Mass transfer, Nanofluid, Computation and Mass flux is closely connected to Type in his research, which is encompassed under the umbrella topic of Nonlinear system. His research links Scheme with Laplace transform.

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

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

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

An efficient analytical approach for fractional equal width equations describing hydro-magnetic waves in cold plasma

Amit Goswami;Jagdev Singh;Devendra Kumar;Sushila.
Physica A-statistical Mechanics and Its Applications (2019)

158 Citations

A modified numerical scheme and convergence analysis for fractional model of Lienard’s equation

Devendra Kumar;Ravi P. Agarwal;Jagdev Singh.
Journal of Computational and Applied Mathematics (2017)

149 Citations

An Efficient Numerical Method for Fractional SIR Epidemic Model of Infectious Disease by Using Bernstein Wavelets

Sunil Kumar;Ali Ahmadian;Ranbir Kumar;Devendra Kumar.
Mathematics (2020)

146 Citations

A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying

Devendra Kumar;Jagdev Singh;Maysaa Al Qurashi;Dumitru Baleanu.
Advances in Difference Equations (2019)

141 Citations

Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm

Jagdev Singh;Devendra Kumar;Ram Swroop.
alexandria engineering journal (2016)

138 Citations

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