New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization, 2nd Edition
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 31 July 2025 | Viewed by 4647
Special Issue Editor
Interests: nonlinear analysis; fixed point theory and its applications; variational principles and inequalities; optimization theory; fractional calculus theory
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
This Special Issue is a continuation of the previous successful Special Issue "New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization".
Nonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory, functional analysis, fixed point theory, nonlinear optimization, fractional calculus, variational analysis, convex analysis, dynamical system theory, mathematical economics, data mining, signal processing, control theory, and so on. The rapid development of fractional calculus and its applications during the past more-than thirty years has led to a number of scholarly essays that study the importance of its promotion and application in physical chemistry, probability and statistics, electromagnetic theory, financial economics, biological engineering, electronic networks, and so forth. Almost all areas of modern science and engineering have been influenced by the theory of fractional calculus. Due to the complexity of the various problems that arise in nonlinear analysis, fractional calculus and optimization, it is not always easy to find exact solutions, so we often resort to approximate solutions. Over the past eighty years, optimization problems have been intensively studied, and many scholars have developed various feasible methods to analyze the convergence of algorithms and find approximate solutions.
This Special Issue will pay more attention to the new originality and real-world applications of nonlinear analysis, fractional calculus, optimization, and their applications. We cordially and earnestly invite researchers to contribute original and high-quality research papers, which will inspire advances in nonlinear analysis, fractional calculus, optimization, and their applications. Potential topics include, but are not limited to, the following:
- Nonlinear functional analysis;
- Fixed point, coincidence point, and best proximity point theory;
- Set-valued analysis;
- Critical point theory;
- Matrix theory;
- Convex analysis;
- Boundary value problems;
- Singular and impulsive fractional differential and integral equations;
- Well-posedness of fractional systems;
- Fractional epidemic model;
- Modeling biological phenomena;
- Non-smooth analysis and optimization;
- Stability analysis;
- Dynamics and chaos;
- Machine learning;
- Artificial neural networks.
Prof. Dr. Wei-Shih Du
Guest Editor
Manuscript Submission Information
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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
- functional analysis
- fixed point theory and its applications
- set-valued analysis
- critical point theory
- matrix theory
- convex analysis
- fractional differential equation
- well-posedness of fractional system
- fractional epidemic model
- non-smooth analysis and optimization
- graph theory and optimization
- stability analysis
- dynamics and chaos
- machine learning
- artificial neural networks
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