Dr. Kinga Cichoń
Institute of Mathematics, Faculty of Automatic Control, Robotics and Electrical Engineering, Poznań University of Technology, Poznań, Wielkopolskie, Poland
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Academic Career Length
25Years (2002-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 January 2013 in Discussiones Mathematicae Differential Inclusions, Control and Optimization
Journal Article
Discussiones Mathematicae Differential Inclusions, Control and Optimization
7 June 2018 in Mediterranean Journal of Mathematics
Journal Article
5 June 2020 in Advances in Difference Equations
Journal Article
This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators. We concentrate on general growth conditions for functions generating right-hand side of considered systems, which leads to the study of Hadamard-type fractional operators on Orlicz spaces. Thus we need to prove some properties of such type of operators. In contrast to the case of Caputo or Riemann–Liouville type of fractional operators, it is not a convolution-type operator, so we need to study some of their new properties. Some more general problems than systems of quadratic integral equations are also studied, and the results are new even in the context of a single integral equation with the Hadamard fractional operator. The paper concludes with illustrative examples.
1 July 2021 in Nonlinear Analysis Modelling and Control
Journal Article
MMMohamed M.A. Metwali
Mohamed M.A. Metwali
Kinga CichońIn this paper, we study the existence of a.e. monotonic solutions of some general delay integral problems for both fractional and integer orders in the space of Lebesgue integrable functions on the interval R+ = [0;1) and in the space of locally integrable functions L1loc (R+). In particular, the uniqueness of solutions for considered problems is obtained.
30 March 2018 in Carpathian Journal of Mathematics
Journal Article
Kinga CichońMCMieczysław Cichoń
Mieczysław Cichoń
Mohamed M. A. MetwaliIn this paper, we study a class of discontinuous functions being a space of solutions for some differential and integral equations. We investigate functions having finite one-sided limits, i.e. regulated functions. In the space of such functions, we introduce some new concepts like a modulus of equi-regularity or a measure of noncompactness, allowing us to unify the proofs for the results about existence for both continuous and discontinuous solutions. An example of applications for quadratic integral equations, essentially improving earlier ones, completes the paper.
14 May 2024 in Physica D: Nonlinear Phenomena
Journal Article
Kinga CichońMCMieczysław Cichoń
Mieczysław CichońAbout Me
I am a researcher in mathematical analysis whose research interests include differential and integral equations, function spaces, nonlinear functional analysis, and fractional calculus. I received my Ph.D. in Mathematics from Adam Mickiewicz University in Poznań, where my doctoral research focused on Complex Analysis.
My current research focuses on developing analytical methods for nonlinear problems, with particular emphasis on fractional-order operators, fixed point theory, and the qualitative analysis of differential and integral equations. I am interested in exploring the connections between abstract mathematical theory and mathematical modelling, as well as in applying modern analytical techniques to problems arising in various fields. I welcome opportunities for scientific collaboration and discussions with researchers working in related areas.