Advances in Nonlinear Equations with Applications

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 30 January 2027 | Viewed by 132

Special Issue Editors


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Guest Editor
Department of Mathematical and Computational Sciences, University of Venda, Thohoyandou 0950, South Africa
Interests: lie group analysis of differential equations; lax pairs and integrable systems; casimir operators of lie algebras

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Guest Editor
Faculty of Mathematics and Computer Science, Ovidius University, Bd. Mamaia 124, 900527 Constanța, Romania
Interests: algebra (non-associative algebra, algebra obtained by the Cayley–Dickson process, and algebra of logic); coding theory; cryptography
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Special Issue Information

Dear Colleagues,

In many fields of mathematics and mathematically based subjects—including physics, engineering, economics and several others—nonlinear differential equations regularly serve as one of the best models for describing theoretical or physical phenomena. Although well studied, differential equations offer huge research potential due to the numerous challenges and unresolved problems that remain. Additionally, the emergence of new ideas and concepts in nonlinear differential equations yields new challenges, thus increasing the appeal of this topic for further study.

This Special Issue aims to provide a platform for disseminating new trends and results in the theory, numerical analysis, and application of nonlinear ordinary and partial differential equations. Original research articles and survey papers are welcome.

The following is a non-exhaustive list of topics of interest:

  • Differential equations of fractional order;
  • Differential difference and difference equations;
  • Control theory;
  • Boundary value problems;
  • Lie group analysis;
  • Darboux transformations and the inverse scattering transform;
  • Lax pairs and the hierarchy of integrable systems;
  • Dynamical systems;
  • Stochastic differential equations and fuzzy systems;
  • Oscillation theory;
  • Mathematical modelling in relativity, epidemiology, biology, economics, etc.

We would like to invite you to submit your current research to this Special Issue and welcome any suggestions for topics from the scientific community.

Assoc. Prof. Jean-Claude Ndogmo
Prof. Dr. Cristina Flaut
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • nonlinear differential equations
  • fractional order
  • control theory
  • boundary valued problems
  • lie group analysis
  • difference equations
  • lax pairs and integrable systems
  • uncertain systems
  • applications

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Published Papers

This special issue is now open for submission.
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