D-Index & Metrics Best Publications

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 43 Citations 5,204 128 World Ranking 847 National Ranking 7

Research.com Recognitions

Awards & Achievements

2018 - Fellow of the American Society of Mechanical Engineers

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Partial differential equation
  • Differential equation

His scientific interests lie mostly in Applied mathematics, Mathematical analysis, Fractional calculus, Homotopy and Homotopy analysis method. Sunil Kumar combines subjects such as Operational matrix, Algebraic equation, Differential and Wavelet with his study of Applied mathematics. Many of his research projects under Mathematical analysis are closely connected to Two-sided Laplace transform with Two-sided Laplace transform, tying the diverse disciplines of science together.

His Fractional calculus study also includes

  • Exponential function which is related to area like Homotopy perturbation method, Fixed-point iteration and Kernel,
  • Uniqueness which intersects with area such as Structure. His work carried out in the field of Homotopy brings together such families of science as Laplace transform, Taylor series, Differential equation, Fluid dynamics and Function. His Homotopy analysis method study combines topics in areas such as Linearization, Time derivative, Swift–Hohenberg equation, Brownian motion and Series.

His most cited work include:

  • Fractional-order Legendre functions for solving fractional-order differential equations (192 citations)
  • A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative (128 citations)
  • A new analytical modelling for fractional telegraph equation via Laplace transform (127 citations)

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

His primary areas of investigation include Mathematical analysis, Fractional calculus, Applied mathematics, Homotopy analysis method and Laplace transform. His work on Mathematical analysis is being expanded to include thematically relevant topics such as Homotopy perturbation method. His research investigates the connection between Fractional calculus and topics such as Partial differential equation that intersect with issues in Ordinary differential equation.

Sunil Kumar interconnects Kernel, Derivative, Iterative method, Uniqueness and Wavelet in the investigation of issues within Applied mathematics. His Homotopy analysis method research is multidisciplinary, relying on both Algorithm and Series. His study focuses on the intersection of Power series and fields such as Residual with connections in the field of Taylor series.

He most often published in these fields:

  • Mathematical analysis (42.33%)
  • Fractional calculus (27.61%)
  • Applied mathematics (26.99%)

What were the highlights of his more recent work (between 2018-2021)?

  • Applied mathematics (26.99%)
  • Fractional calculus (27.61%)
  • Mathematical analysis (42.33%)

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

His primary scientific interests are in Applied mathematics, Fractional calculus, Mathematical analysis, Function and Derivative. The study incorporates disciplines such as Homotopy, Partial differential equation, Wavelet and Kernel in addition to Applied mathematics. His Homotopy study incorporates themes from Uniqueness and Differential equation.

His study looks at the intersection of Differential equation and topics like Laplace transform with Invertible matrix. The concepts of his Fractional calculus study are interwoven with issues in Fixed-point iteration, Collocation method, Exponential function, Order and Convergent series. His work on Traveling wave as part of general Mathematical analysis research is frequently linked to Inverse, thereby connecting diverse disciplines of science.

Between 2018 and 2021, his most popular works were:

  • A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative (128 citations)
  • A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods (101 citations)
  • Similarities in a fifth-order evolution equation with and with no singular kernel (96 citations)

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

  • Mathematical analysis
  • Partial differential equation
  • Algebra

Sunil Kumar mainly investigates Applied mathematics, Fractional calculus, Mathematical analysis, Homotopy and Uniqueness. His Applied mathematics study combines topics from a wide range of disciplines, such as Operational matrix, Differential, Partial differential equation and Wavelet. His Fractional calculus research includes elements of Function, Special case, Exponential function and Trigonometric functions.

His Mathematical analysis study combines topics in areas such as Invertible matrix and Brownian motion. His research investigates the connection between Homotopy and topics such as Differential equation that intersect with problems in Fractional differential and Scheme. The Uniqueness study combines topics in areas such as Neuroscience and Effector.

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

Fractional-order Legendre functions for solving fractional-order differential equations

S. Kazem;S. Abbasbandy;Sunil Kumar.
Applied Mathematical Modelling (2013)

205 Citations

A new analytical modelling for fractional telegraph equation via Laplace transform

Sunil Kumar.
Applied Mathematical Modelling (2014)

180 Citations

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

Behzad Ghanbari;Behzad Ghanbari;Sunil Kumar;Ranbir Kumar.
Chaos Solitons & Fractals (2020)

151 Citations

Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves

Sunil Kumar;Amit Kumar;Dumitru Baleanu.
Nonlinear Dynamics (2016)

140 Citations

Similarities in a fifth-order evolution equation with and with no singular kernel

Emile F. Doungmo Goufo;Sunil Kumar;S.B. Mugisha.
Chaos Solitons & Fractals (2020)

124 Citations

New analytical method for gas dynamics equation arising in shock fronts

Sunil Kumar;Mohammad Mehdi Rashidi;Mohammad Mehdi Rashidi.
Computer Physics Communications (2014)

121 Citations

Comparative numerical study of single and two-phase models of nanofluid heat transfer in wavy channel

M. M. Rashidi;A. Hosseini;I. Pop;S. Kumar.
Applied Mathematics and Mechanics-english Edition (2014)

120 Citations

Analytical solution of fractional Navier–Stokes equation by using modified Laplace decomposition method

Sunil Kumar;Deepak Kumar;Saeid Abbasbandy;M.M. Rashidi;M.M. Rashidi.
Ain Shams Engineering Journal (2014)

118 Citations

A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods

Sunil Kumar;Ranbir Kumar;Ravi P. Agarwal;Bessem Samet.
Mathematical Methods in The Applied Sciences (2020)

113 Citations

A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force

Sunil Kumar;Kottakkaran Sooppy Nisar;Ranbir Kumar;Carlo Cattani.
Mathematical Methods in The Applied Sciences (2020)

111 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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