Mathematical Analysis with Applications

Dear Colleagues,

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.

This Special Issue, “Mathematical Analysis with Applications”, will be destined for the publication of high-quality mathematical papers in the area of functional differential equations. Emphasis are placed on developments in the theory of delay differential, integro-differential, impulsive differential and difference equations and their applications. Among possible topics of the papers we can note, for example, the following: 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, the use of functional differential equations in technology, economics, biology and medicine.

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 which can even be at a very early stage of conception. Papers based on the 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. 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.

You may choose our Joint Special Issue in Mathematics.

Prof. Dr. Dimplekumar N. Chalishajar
Prof. Dr. J. Alberto Conejero
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. Sci is an international peer-reviewed open access quarterly 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 1200 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.

• functional differential equations
• oscillation/nonoscillation
• feedback control
• stability
• boundary value problems
• Markov chains
• Jump processes
• Coupled dynamics
• Fractional processes
• Space-time fractional equations
• Fractional Brownian motion
• Long-range dependence
• fractional integral
• time–space fractional vibration equation
• convergence
• eigenvalue
• eigenfunction
• green function