Special Issue "Advances in Integral Equations and Transforms: Theory and Applications in Science and Engineering"
Deadline for manuscript submissions: 30 September 2023 | Viewed by 1713
Interests: integral equations; differential equations; fixed point theory
As you know, there has always been a special interest in modeling dynamic processes in various diverse areas of mathematical and engineering sciences. Many families of integral equations and transforms have been used and developed from both the theoretical and applied perspectives. Intensive work into real-world and other interdisciplinary applications covers a lot of novel theoretical analysis into the existence, uniqueness, and stability of the solutions of these equations and transforms. Moreover, there is genuine need for new analytical and numerical methods and techniques for solving these equations.
Interested authors are cordially invited to present original research articles as well as review articles in the area of integral equations and transforms. This Special Issue will be an international forum for researchers to present the most recent developments and ideas in the field. The topics of interest for this Special Issue include, but are not limited to, results regarding:
- Mathematical models governed by integral equations;
- The existence, uniqueness, and stability of the solutions;
- Data dependence, and the differentiability of the solutions;
- Solution comparison theorems;
- Gronwall lemmas and integral inequalities;
- The approximation of the solution, including related numerical methods;
- Numerical methods for the approximate calculation of the integrals;
- The use of specific software to calculate approximate solutions of integral equations;
- Integral transforms, their related operational calculus, and related transforms topics;
- The applications of the use of integral equations in various fields, including engineering, physics, mechanics, chemistry, biology, medicine, economics, etc.
Papers on the real-world and other interdisciplinary applications are, also, especially welcome.
In addition, you may include some of the many other aspects that may be part of this vast field, connected as they are by differential equations and, especially, by partial differential equations, all of which lead to computational and applied mathematics.
Dr. Maria Dobriţoiu
Prof. Dr. Wilhelm W. Kecs
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.
- differential, partial differential, and integral equations
- functional integral equations
- linear and nonlinear problems
- systems of integral equations
- existence and uniqueness of solutions
- properties of the solution: data dependence, differentiability, solutions comparison, and stability
- integral inequalities
- integral transforms
- numerical methods for integral equations
- convergence analysis
- mathematical models using integral equations
- applications of the use of integral equations in various fields