Advances in Fractional Initial and Boundary Value Problems

Dear Colleagues,

The importance of initial and boundary value problems for different kinds of fractional differential equations (ordinary, partial, difference, functional, stochastic, integral, integro-differential, etc.) is well recognized in view of their extensive applications in applied sciences and engineering.

Single-valued and multi-valued initial and boundary value problems involving different kinds of boundary conditions have attracted significant attention during the last few decades. The literature on this topic is now more enriched and contains a variety of results ranging from existence theory to the methods of solutions for such problems. The techniques of functional analysis and fixed-point theory play a key role in proving the existence and uniqueness of solutions to these problems.

The aim of this Special Issue is to strengthen the available literature on the topic by publishing research and review articles on initial and boundary value problems of differential equations and inclusions in a broader sense.

Potential topics include but are not limited to the following:

Existence, uniqueness, and multiplicity results for initial and boundary value problems for differential equations and inclusions (ordinary, functional, fractional, partial, difference, stochastic, integral, etc.).

Also, please feel free to read and download all the published articles in our first volume:
https://www.mdpi.com/journal/fractalfract/special_issues/boundary_value

Prof. Dr. Sotiris K. Ntouyas
Prof. Dr. Bashir Ahmad
Prof. Dr. Jessada Tariboon
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 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.

• qualitative properties of the solutions (positivity, oscillation, asymptotic behavior, stability, etc.)
• topological methods in differential equations and inclusions
• approximation of the solutions
• eigenvalue problems
• variational methods
• fixed point theory
• critical point theory
• applications to real-world phenomena