Advances in Applied Mathematical Analysis

Dear Colleagues,

This Special Issue, “Advances in Applied Mathematical Analysis”, will publish high-quality mathematical papers on functional differential equations. Emphasis shall be placed on developments in the theory of delay differential, integro-differential, impulsive differential, and difference equations and their applications. Some of the possible topics of the papers invited include, for example, various boundary value problems, positivity/negativity of their solutions, Green’s functions and their properties, existence and uniqueness solutions of nonlinear boundary value problems, optimization and control theory, stability theory, oscillation and non-oscillation, variational problems, and the use of functional differential equations in technology, economics, biology, and medicine.

In interdisciplinary approaches, which necessarily combine concepts and tools from different fields, mathematics is commonly the language used to smartly merge all the different concepts into a unique model. Cross-border modeling and numerical simulation works within the subfields of physics and engineering are particularly welcome in this Special Issue.  

The scope includes (but is not limited to) original research works providing characterizations, explanations, predictions of systems, and phenomena supporting the emergence of potentially novel, useful applications that can even be at a very early stage of conception. Papers based on advances in the theory of stochastic processes and stochastic models are also welcome. The papers devoted to local and nonlocal condition and transference differential equations of heat and mass transference mathematical processes in continuous media with memory and in media with fractal structure will be considered. These papers shall investigate modified initial and mixed boundary value problems for generalized transfer differential equations of integral and fractional orders, and the fields of qualitative and quantitative analysis of nonlinear evolution equations and their applications in image analysis. Both analytical studies as well as simulation-based studies will be considered. We will cover mathematical problems in materials science, mathematical approaches to image processing with applications, applications of partial differential equations, recent advances in delay differential and difference equations, nonlinear optimization, variational inequalities and equilibrium problems, computational methods in analysis and applications, and all applied mathematical fields.

Prof. Dr. Dimplekumar N. Chalishajar
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 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. Axioms 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.