Special Issue "Advances in Dynamic Inequalities on Time Scales and Their Applications to Qualitative Theory"
Deadline for manuscript submissions: 31 December 2023 | Viewed by 11561
Interests: dynamic inequalities; differential equations; theory of time scale; fractional calculus; delay differential equations; difference equations; oscillation and stability theory nonlinear dynamics
Interests: special functions; orthogonal polynomials; differential equations; operator theory; multivariate approximation theory; lie algebra
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Natural nonlinear phenomena may be observed in many areas. Precisely, in physics, nonlinearity is presented in fluid dynamics, nonlinear optics, and so on. As is well known, in some situations, it is not necessary to obtain exact solutions of the initial value problems which model the natural phenomena, but it is sufficient to have enough knowledge and information about the qualitative properties of the solutions; on the other hand, in other situations, analytically, we cannot obtain exact solutions for our problem, so dynamic inequalities such as Hardy inequality, Ostrowski inequality, Opial inequality, and Gronwall inequality involving functions of one and more than one independent variables, which provide explicit bounds on unknown functions, play a fundamental role in the development of qualitative theory and can be used as handy tools in the study of existence, uniqueness, oscillation, stability, and other qualitative properties of the solutions of certain dynamic equations on time scales.
Currently, the application of dynamic inequalities on time scales is a subject of strong interest. Therefore, the main aim of this Special Issue is to focus on all new aspects of recent developments in the theory of dynamic inequalities and fractional calculus on time scales, including numerical examples, as well as on contributions related to the symmetry approach to applications of inequalities in the field of dynamic equations on time scales.
It is the purpose of this Special Issue to collate original and significant contributions dealing with inequalities on time scales and applications to dynamic equations. We also welcome researchers in related fields to contribute their recent results to this Special issue.
Dr. Ahmed A. El-Deeb
Dr. Clemente Cesarano
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.
- dynamic inequalities on time scales
- dynamical systems based upon fractional calculus
- Hardy inequalities on time scales
- Opial inequalities on time scales
- Gronwall inequalities on time scales
- fractional dynamic inequalities
- existence and uniqueness
- stability and numerical methods
- oscillation behavior of half-linear dynamic equations
- time scales calculus