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 32 Citations 4,670 259 World Ranking 1825 National Ranking 7

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

Stevan Pilipović focuses on Mathematical analysis, Fractional calculus, Pure mathematics, Generalized function and Partial differential equation. As part of his studies on Mathematical analysis, he frequently links adjacent subjects like Euler–Lagrange equation. Stevan Pilipović combines subjects such as Viscoelasticity, Wave equation and Classical mechanics with his study of Fractional calculus.

In general Pure mathematics, his work in Modulation space is often linked to Homogeneous function linking many areas of study. His Generalized function course of study focuses on Microlocal analysis and Constant coefficients, Differential operator, Extension and Hypoelliptic operator. His Partial differential equation research is multidisciplinary, relying on both Cauchy problem, Diffusion equation and Differential equation.

His most cited work include:

  • Variational problems with fractional derivatives: Euler–Lagrange equations (134 citations)
  • Fractional calculus with applications in mechanics : vibrations and diffusion processes (134 citations)
  • The linear theory of Colombeau generalized functions (124 citations)

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

His primary areas of investigation include Pure mathematics, Mathematical analysis, Generalized function, Discrete mathematics and Fractional calculus. His Pure mathematics study combines topics in areas such as Class, Type and Fourier transform. His biological study spans a wide range of topics, including Space and Sobolev space.

He usually deals with Mathematical analysis and limits it to topics linked to Viscoelasticity and Uniqueness. His Generalized function study combines topics from a wide range of disciplines, such as Distribution, Microlocal analysis and Nonlinear system. His research integrates issues of Function and Integer in his study of Fractional calculus.

He most often published in these fields:

  • Pure mathematics (37.83%)
  • Mathematical analysis (37.04%)
  • Generalized function (14.81%)

What were the highlights of his more recent work (between 2015-2021)?

  • Pure mathematics (37.83%)
  • Mathematical analysis (37.04%)
  • Type (13.49%)

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

Pure mathematics, Mathematical analysis, Type, Class and Fractional calculus are his primary areas of study. His Pure mathematics research is multidisciplinary, incorporating perspectives in Convolution, Fourier transform and Order. The concepts of his Mathematical analysis study are interwoven with issues in Wave propagation, Wavefront and Standard linear solid model.

The study incorporates disciplines such as Entire function, Generalized function, Sobolev space, Function and Power series in addition to Type. His Class research integrates issues from Kernel, Hypoelliptic operator and Polynomial, Square root, Algebra. His study looks at the relationship between Fractional calculus and topics such as Viscoelasticity, which overlap with Second law of thermodynamics.

Between 2015 and 2021, his most popular works were:

  • Properties of the Caputo-Fabrizio fractional derivative and its distributional settings (30 citations)
  • Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces (26 citations)
  • Complex order fractional derivatives in viscoelasticity (26 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Algebra

His main research concerns Pure mathematics, Mathematical analysis, Fractional calculus, Class and Type. The Pure mathematics study combines topics in areas such as Space and Fourier transform. Stevan Pilipović performs integrative study on Mathematical analysis and Cauchy elastic material.

His studies in Fractional calculus integrate themes in fields like Wave equation, Viscoelasticity and Thermal conduction. His studies deal with areas such as Wick product, Order and Kernel as well as Class. His work deals with themes such as Stochastic partial differential equation, Calculus of variations and Generalized function, which intersect with Applied mathematics.

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 calculus with applications in mechanics : vibrations and diffusion processes

Teodor M. Atanackovic;Stevan Pilipović;Bogoljub Stanković;Dušan Zorica.
(2014)

200 Citations

Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles

Teodor M. Atanacković;Stevan Pilipović;Bogoljub Stanković;DušAn Zorica.
(2014)

197 Citations

The linear theory of Colombeau generalized functions

M. Nedeljkov;Stevan Pilipović;D. Scarpalézos.
(1998)

187 Citations

Variational problems with fractional derivatives: Euler–Lagrange equations

Teodor M. Atanackovic;Sanja Konjik;Stevan Pilipovic.
Journal of Physics A (2008)

174 Citations

Variational problems with fractional derivatives: Invariance conditions and Nöther’s theorem☆

Teodor M. Atanacković;Sanja Konjik;Stevan Pilipović;Srboljub Simić.
Nonlinear Analysis-theory Methods & Applications (2009)

141 Citations

Asymptotic behaviour and Stieltjes transformation of distributions

Stevan Pilipović;Bogoljub Stanković;Arpad Takači.
(1990)

105 Citations

On a fractional distributed-order oscillator

T M Atanackovic;M Budincevic;S Pilipovic.
Journal of Physics A (2005)

101 Citations

A diffusion wave equation with two fractional derivatives of different order

T M Atanackovic;S Pilipovic;D Zorica.
Journal of Physics A (2007)

99 Citations

Time distributed-order diffusion-wave equation. I. Volterra-type equation

Teodor M. Atanackovic;Stevan Pilipovic;Dusan Zorica.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (2009)

91 Citations

Boundary Values and Convolution in Ultradistribution Spaces

Richard D Carmichael;Andrzej Kamiński;Stevan Pilipović.
(2007)

81 Citations

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Om P. Agrawal

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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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