Fractional Calculus and Nonlinear Analysis: Theory and Applications

Dear Colleagues,

Fractional calculus is a generalization of classical calculus that involves the study of non-integer derivatives and integrals and their applications. In recent decades, fractional calculus has been widely investigated and applied in various scientific fields such as probability and statistics, physical chemistry, electromagnetic theory, electronic networks, financial economics, biological engineering and so on. It is safe to say that almost all modern engineering and scientific disciplines have been influenced by the theory of fractional calculus, so many scholars have devoted themselves to the study of fractional calculus theory and achieved fruitful research results. Nonlinear analysis is one of the core areas of pure mathematics and applied mathematics. Over the centuries, it has been widely and significantly applied in many areas of mathematics, including critical point theory, functional analysis, fixed point theory, nonlinear ordinary and partial differential equations, nonlinear optimization, variational analysis, convex analysis, dynamical system theory, mathematical economics, signal processing, control theory, data mining, and so forth.

This Special Issue will pay more attention to the new originality and real-world applications of fractional calculus and nonlinear analysis. We cordially and earnestly invite researchers to contribute their original and high-quality research papers that will inspire advances in fractional calculus, nonlinear analysis and their applications. Potential topics include but are not limited to:

• Boundary value problems of fractional differential equations;
• Singular and impulsive fractional differential and integral equations;
• Fractional complicated systems;
• Fractional operators and their applications;
• Modeling biological phenomena;
• Non-locality in epidemic models and memory effects;
• Nonlinear functional analysis;
• Nonlinear dynamics and chaos;
• Fixed-point theory and its applications;
• Critical point theory;
• Optimization;
• Convex analysis.

Prof. Dr. Wei-Shih Du
Prof. Dr. Marko Kostić
Prof. Dr. Daniel Velinov
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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional 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 2700 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.