Advances in Nonlinear Functional Analysis on Fractional Differential Equations, 2nd Edition

Dear Colleagues,

Nonlinear functional analysis is one of the techniques of nonlinear mapping between infinite dimensional vector space and a certain class of nonlinear spaces. The subject of nonlinear functional analysis is of interest in its own right, and it also serves to lay the foundations for different fields of pure and applied mathematics. Researchers worldwide are actively involved in analysing and developing different theories of nonlinear functional analysis and fractional differential equations applicable to real-world problems.

The fractional differential equations describe different nonlocal dynamic systems in scientific and engineering fields such as biology, physics, chemistry, control theory, economics, signal processing, etc. Fractional derivatives play a significant role in formulating models of nonlinear systems in real-life phenomena. Fractional models are useful for reporting different chaotic behavior. There exist many theoretical results for checking the existence and uniqueness of fractional differential equations, but there is still signficant scope to discuss the nonlinear fractional differential equations.

In this Special Issue, we will share the recent progress and advances in the different fields of nonlinear functional analysis and fractional differential equations to identify fruitful research directions and inspire collaborations.

This Special Issue focuses on recent developments and achievements in nonlinear functional analysis and fractional differential equations and identifies their applications. We invite authors to submit original research and review articles describing new methods and applications directly or indirectly related to nonlinear functional analysis, fractional differential equations, Banach spaces, function spaces, and sequence spaces. We also welcome research including fixed-point theory, nonlinear operator theory, and nonlinear fractional dynamic equations.

Potential topics include:

• Nonlinear functional analysis and applications;
• Control theory and applications;
• Nonlinear fractional dynamic equations on timescale; 
• Fixed point theory and applications;
• Modeling in ecological systems;
• Nonlinear dynamical systems and fractional calculus;
• Solvability of infinite systems of nonlinear fractional differential, integral, and integro-differential equations on sequence spaces and function spaces;
• Nonlinear functionals and variational methods for nonlinear operators.

Please feel free to read and download all published papers in our 1st volume:

https://www.mdpi.com/journal/fractalfract/special_issues/ANFAFDE.

Prof. Dr. Bipan Hazarika
Guest Editor

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 100 words) can be sent to the Editorial Office for announcement on this website.

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. 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.

• nonlinear functional analysis
• control theory and applications
• nonlinear fractional dynamic equations on timescale
• fixed point theory
• ecological systems
• nonlinear dynamical systems
• fractional calculus
• solvability of infinite systems
• sequence spaces and function spaces
• nonlinear functionals and variational methods
• nonlinear operators

• Advances in Nonlinear Functional Analysis on Fractional Differential Equations in Fractal and Fractional (12 articles)