D-Index & Metrics Best Publications

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 31 Citations 17,314 331 World Ranking 2463 National Ranking 3

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

Michal Fečkan focuses on Mathematical analysis, Differential equation, Applied mathematics, Fractional calculus and Nonlinear system. His research investigates the connection between Mathematical analysis and topics such as Homoclinic orbit that intersect with issues in Chaotic, Discontinuity and Simple. His Differential equation study deals with Calculus intersecting with Stability.

His research in Applied mathematics focuses on subjects like Class, which are connected to Monotonic function and Contraction mapping. His study in Nonlinear system is interdisciplinary in nature, drawing from both Cauchy matrix and Boundary value problem. His research integrates issues of Piecewise linear function, Variety and Series in his study of Ordinary differential equation.

His most cited work include:

  • Ordinary differential equations (6866 citations)
  • On the new concept of solutions and existence results for impulsive fractional evolution equations (168 citations)
  • Nonlinear impulsive problems for fractional differential equations and Ulam stability (155 citations)

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

The scientist’s investigation covers issues in Mathematical analysis, Nonlinear system, Differential equation, Applied mathematics and Ordinary differential equation. His Mathematical analysis research incorporates elements of Homoclinic orbit and Bifurcation. His Nonlinear system research integrates issues from Fixed point and Gravitational singularity.

His studies in Differential equation integrate themes in fields like Cauchy matrix, Bounded function and Pure mathematics. Within one scientific family, he focuses on topics pertaining to Order under Applied mathematics, and may sometimes address concerns connected to Differential inclusion. Ordinary differential equation is closely attributed to Partial differential equation in his research.

He most often published in these fields:

  • Mathematical analysis (78.81%)
  • Nonlinear system (31.90%)
  • Differential equation (30.00%)

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

  • Applied mathematics (31.67%)
  • Mathematical analysis (78.81%)
  • Differential equation (30.00%)

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

His primary areas of investigation include Applied mathematics, Mathematical analysis, Differential equation, Nonlinear system and Uniqueness. His research integrates issues of Controllability, Perturbation and Ordinary differential equation in his study of Applied mathematics. His studies deal with areas such as Partial differential equation and Piecewise as well as Ordinary differential equation.

Michal Fečkan works mostly in the field of Mathematical analysis, limiting it down to topics relating to Boundary and, in certain cases, Monotonic function. The study incorporates disciplines such as Transfer, Conformable matrix, Cauchy matrix, Fixed-point theorem and Gronwall's inequality in addition to Differential equation. He focuses mostly in the field of Nonlinear system, narrowing it down to matters related to Fixed point and, in some cases, Dynamics.

Between 2018 and 2021, his most popular works were:

  • Controllability of fractional non-instantaneous impulsive differential inclusions without compactness (13 citations)
  • Controllability of fractional non-instantaneous impulsive differential inclusions without compactness (13 citations)
  • Hidden chaotic attractors and chaos suppression in an impulsive discrete economical supply and demand dynamical system (11 citations)

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

  • Mathematical analysis
  • Quantum mechanics
  • Differential equation

Michal Fečkan mostly deals with Mathematical analysis, Applied mathematics, Differential equation, Uniqueness and Fractional differential. His Mathematical analysis research is multidisciplinary, incorporating perspectives in Boundary and Orthographic projection. Michal Fečkan interconnects Initial value problem, Bounded function, Limit and Ordinary differential equation in the investigation of issues within Applied mathematics.

His work carried out in the field of Differential equation brings together such families of science as Transfer, Fixed-point theorem, Pure mathematics, Cauchy matrix and Nonlinear system. Michal Fečkan has researched Uniqueness in several fields, including Optimal control, Banach space, Linear map, Function and Contraction mapping. Michal Fečkan combines subjects such as Partial differential equation, Type and Order with his study of Fractional differential.

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

Ordinary differential equations

A. Cañada;P. (Pavel) Drabek;A. Fonda;Flaviano Battelli.
(2004)

13159 Citations

On the new concept of solutions and existence results for impulsive fractional evolution equations

Michal Fečkan;Jin-Rong Wang;Yong Zhou;Michal Fe kan.
Dynamics of Partial Differential Equations (2011)

248 Citations

Nonlinear impulsive problems for fractional differential equations and Ulam stability

Jinrong Wang;Yong Zhou;Michal Feckan.
Computers & Mathematics With Applications (2012)

215 Citations

A survey on impulsive fractional differential equations

JinRong Wang;Michal Fečkan;Yong Zhou.
Fractional Calculus and Applied Analysis (2016)

189 Citations

On recent developments in the theory of boundary value problems for impulsive fractional differential equations

Jinrong Wang;Yong Zhou;Michal Feckan.
Computers & Mathematics With Applications (2012)

175 Citations

Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators

Michal Feckan;Michal Feckan;JinRong Wang;Yong Zhou.
Journal of Optimization Theory and Applications (2013)

126 Citations

A General Class of Impulsive Evolution Equations

JinRong Wang;Michal Feckan.
Topological Methods in Nonlinear Analysis (2015)

107 Citations

Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces

JinRong Wang;Ahmed Gamal Ibrahim;Michal Fečkan.
Applied Mathematics and Computation (2015)

105 Citations

Abstract Cauchy problem for fractional differential equations

JinRong Wang;Yong Zhou;Michal Fec̆kan;Michal Fec̆kan.
Nonlinear Dynamics (2013)

93 Citations

Presentation of solutions of impulsive fractional Langevin equations and existence results

J. Wang;M. Fec̆kan;M. Fec̆kan;Y. Zhou.
European Physical Journal-special Topics (2013)

91 Citations

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