Mathematical Inequalities in Fractional Calculus and Applications

Dear Colleagues,

Inequalities of any type play a very important role in various aspects of mathematical analysis, such as approximation theory and the theory of differential equations. The theory of Fractional Calculus, which deals with the study and applications of derivatives and integrals of arbitrary orders, has gained considerable attention due to its numerous applications in the applied sciences.

In recent years, fractional differential equations have been used frequently in modelling of real systems in numerous fields of applied sciences. To study the existence, uniqueness, and stability of solutions to a system of fractional differential equations inequalities involving derivatives and integrals of arbitrary powers, also known as fractional inequalities, have been used. Additionally, fractional inequalities are used to find upper and lower bounds of solutions to a system of fractional differential equations. In addition, fractional inequalities are also used in the fields of probability, numerical quadrature, and many more. Over the years, many authors have established several generalizations of the various classical inequalities to fractional calculus in the literature.

The goal of this Special Issue is to continue to advance the research on mathematical inequalities in fractional calculus by assembling both original research and review articles on the subject and its related topics. Topics that are invited for submission include (but are not limited to):

• Fractional integral inequalities;
• Inequalities of generalized functions in fractional calculus;
• Q-calculus;
• Inequalities in fractional calculus on time scales;
• Fractional order derivatives;
• Applications of fractional inequalities;
• Fractals;
• Non-local mathematical models;
• Fractional complicated systems

Dr. Seth Kermausuor
Dr. Eze Nwaeze
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. 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.