Dear Colleagues,

The subject convex analysis is very important in the theoretical aspects of mathematics and also for economists and physicists. Mathematicians use this theory, to provide the solution to problems that arise in mathematics. This theory touches almost all branches of mathematics.

Convex functions play an important role in many areas of mathematics, as well as in other areas of science economy, engineering, medicine, industry, and business. It is especially important in the study of optimization problems, where it is distinguished by several convenient properties (for example, any minimum of a convex function is a global minimum, or the maximum is attained at a boundary point). This explains why there is a very rich theory of convex functions and convex sets. Optimization of convex functions has many practical applications (circuit design, controller design, modeling, etc.). Due to a lot of importance, the term ‘convexity’ has become a rich source of inspiration and absorbing field for researchers.

Fractional calculus manages the investigation of supposed fractional derivatives and integrations over complex areas and their applications. Fractional calculus is the purported assignment of differentiations and integrations of arbitrary non-integer order. Lately, it has kept the consideration of several mathematicians because of its real-life applications. More importantly, it has turned into a valuable tool for handling the elements of perplexing frameworks from different parts of pure and applied sciences. On the other hand, the concept of symmetry is a beauty structure used to describe the environment and problems of the real world, as well as to strengthen the relationship between mathematical science and applied science such as physics and engineering. Therefore, the concept of symmetry exists in fractional calculus as in many other fields.

The purpose of this Special Issue is to pay tribute to the significant contributions and recent advances in theories, methods, and applications, including, but not limited to, the following Symmetry related fields:

• Convex functions;
• Symmetry in fractional models and operators;
• Fractional integral inequality;
• Generalized functions (distributions);
• Special functions and Mittag–Leffler function;
• Integral transforms;
• Optimization and optimal control theory;
• Game theory and dynamical systems;
• Hermite–Hadamard, Ostrowski, Simpson, Jensen–Mercer type inequalities, etc.;
• Quantum, post-quantum calculus;
• Symmetry on fractal and fractional differential operators.

Dr. Hijaz Ahmad
Prof. Dr. Predrag S. Stanimirović
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. Symmetry 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.

• convex functions
• symmetry in fractional models and operators
• fractional integral inequality
• generalized functions (distributions)
• special functions and Mittag–Leffler function
• integral transforms
• optimization and optimal control theory
• game theory and dynamical systems
• Hermite–Hadamard, Ostrowski, Simpson, Jensen–Mercer type inequalities, etc.
• quantum, post-quantum calculus
• symmetry on fractal and fractional differential operators