World's Best Scientists 2026 revealed!
Michal Fečkan

Michal Fečkan

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Mathematics
Slovakia
2026

D-Index & Metrics

Mathematics

D-Index
39
Citations
19831
World Ranking
2111
National Ranking
3

Research.com Recognitions

  • 2026 - Research.com Mathematics in Slovakia Leader Award

Overview

Michal Fečkan is affiliated with Comenius University in Slovakia and has a research focus primarily within the field of Mathematics. Their work spans several specialized subfields including Applied Mathematics, Numerical Analysis, Control and Systems Engineering, Modeling and Simulation, and Statistical and Nonlinear Physics.

Fečkan's publications frequently appear in several academic journals. The main venues include:

  • Mathematics
  • Qualitative Theory of Dynamical Systems
  • Monatshefte für Mathematik
  • Mathematica Slovaca
  • Axioms

The scientist's research topics focus largely on differential equations and their numerical methods, with an emphasis on nonlinear and fractional differential equations. The key areas of work include:

  • Nonlinear Differential Equations Analysis
  • Fractional Differential Equations Solutions
  • Differential Equations and Numerical Methods
  • Numerical methods for differential equations
  • Differential Equations and Boundary Problems
  • Advanced Differential Equations and Dynamical Systems
  • Mathematical and Theoretical Epidemiology and Ecology Models

Some of the recent papers authored or co-authored by Fečkan are:

  • "Relative controllability of fractional delay differential equations via delayed perturbation of Mittag-Leffler functions" (2020), published in Journal of Computational and Applied Mathematics
  • "On the averaging principle for stochastic differential equations involving Caputo fractional derivative" (2022), published in Chaos An Interdisciplinary Journal of Nonlinear Science
  • "Null controllability results for stochastic delay systems with delayed perturbation of matrices" (2020), published in Chaos Solitons & Fractals
  • "Qualitative Analysis of Multi-Terms Fractional Order Delay Differential Equations via the Topological Degree Theory" (2020), published in Mathematics
  • "Consensus of linear conformable fractional order multi-agent systems with impulsive control protocols" (2022), published in Asian Journal of Control

Fečkan has also contributed to book publications, including a title published by Springer International Publishing:

  • Iterative Learning Control for Equations with Fractional Derivatives and Impulses (2021)

Frequent co-authors collaborating with Fečkan include JinRong Wang, Donal O'Regan, Muhammad Aamir Ali, Marius-F. Danca, and Yi Guan. The highest number of shared publications is with JinRong Wang, totaling 123 joint works.

Best Publications

  • Ordinary differential equations

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

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

    Michal Fečkan;Jin-Rong Wang;Yong Zhou;Michal Fe kan

  • Nonlinear impulsive problems for fractional differential equations and Ulam stability

    Jinrong Wang;Yong Zhou;Michal Feckan

  • A survey on impulsive fractional differential equations

    JinRong Wang;Michal Fečkan;Yong Zhou

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

    Jinrong Wang;Yong Zhou;Michal Feckan

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

    Michal Feckan;Michal Feckan;JinRong Wang;Yong Zhou

  • A General Class of Impulsive Evolution Equations

    JinRong Wang;Michal Feckan

  • Presentation of solutions of impulsive fractional Langevin equations and existence results

    J. Wang;M. Fec̆kan;M. Fec̆kan;Y. Zhou

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

    JinRong Wang;Ahmed Gamal Ibrahim;Michal Fečkan

  • Stability Analysis for a General Class of Non-instantaneous Impulsive Differential Equations

    JinRong Wang;Michal Fečkan;Michal Fečkan;Ying Tian

  • Abstract Cauchy problem for fractional differential equations

    JinRong Wang;Yong Zhou;Michal Fec̆kan;Michal Fec̆kan

  • Bifurcation and chaos near sliding homoclinics

    Flaviano Battelli;Michal Fečkan

  • Nonsmooth homoclinic orbits, Melnikov functions and chaos in discontinuous systems

    F. Battelli;M. Fečkan;M. Fečkan

  • On the New Control Functions for Linear Discrete Delay Systems

    Josef Diblík;Michal Feckan;Martin Pospisil

  • Topological Degree Approach to Bifurcation Problems

    Michal Fečkan

  • Nonexistence of periodic solutions and asymptotically periodic solutions for fractional differential equations

    JinRong Wang;Michal Fec˘kan;Michal Fec˘kan;Yong Zhou

  • Homoclinic Trajectories in Discontinuous Systems

    Flaviano Battelli;Michal Fečkan

  • Relaxed Controls for Nonlinear Fractional Impulsive Evolution Equations

    JinRong Wang;Michal Fec̆kan;Michal Fec̆kan;Yong Zhou

  • Response to “Comments on the concept of existence of solution for impulsive fractional differential equations [Commun Nonlinear Sci Numer Simul 2014;19:401–3.]”☆

    Michal Fec̆kan;Yong Zhou;JinRong Wang

  • Periodic Solutions for Nonlinear Evolution Equations with Non-instantaneous Impulses

    Michal Fečkan;JinRong Wang;Yong Zhou

  • Fractional order differential switched systems with coupled nonlocal initial and impulsive conditions

    JinRong Wang;Michal Fečkan;Michal Fečkan;Yong Zhou;Yong Zhou

Frequent Co-Authors

JinRong Wang
JinRong Wang Guizhou University
Jan Awrejcewicz
Jan Awrejcewicz Lodz University of Technology
Nikolay V. Kuznetsov
Nikolay V. Kuznetsov Saint Petersburg State University
Guanrong Chen
Guanrong Chen City University of Hong Kong
Donal O'Regan
Donal O'Regan University of Galway
J. A. Tenreiro Machado
J. A. Tenreiro Machado Polytechnic Institute of Porto
Ruyun Ma
Ruyun Ma Northwest Normal University
Fawang Liu
Fawang Liu Queensland University of Technology
Marat Akhmet
Marat Akhmet Middle East Technical University

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