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COVID-19 and impact on peer review

As a result of the significant disruption that is being caused by the COVID-19 pandemic we are very aware that many researchers will have difficulty in meeting the timelines associated with our peer review process during normal times.  Please do let us know if you need additional time. Our systems will continue to remind you of the original timelines but we intend to be highly flexible at this time.

Call for Papers: Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations

Differential and integral calculus is one of the most important concepts in mathematics and appears naturally in numerous scientific problems that have been widely applied in physics, chemical technology, optimal control, finance, signal processing, etc. and are modeled by ordinary or partial difference and differential equations. This special issue will collect the ideas for theoretical advances on fixed point theory and applications to fractional ordinary and partial difference and differential equations. We welcome both original research articles and articles discussing the current situation. 

Call for Papers: Difference Equations, Special Functions and Orthogonal Polynomials

This special issue reflects the interplay of difference/differential equations, special functions and polynomials. Potential topics include differential/difference equations for orthogonal polynomials, special functions and analysis of differential/difference equations, PDEs and special functions, special functions defined by difference equations, and fractional-order ODEs and PDEs involving special functions and their application. 

Featured article: ‘Finite-time control of plasma glucose in insulin therapies for diabetes'

To study the finite-time control of plasma glucose for diabetic patients with impulsive injections of insulin, Lui Huang, Song, and Shi propose an impulsive differential equation model with initial and boundary conditions. The goal of glucose control is supposed to be achieved if the system has a solution, otherwise the goal cannot be achieved. By constructing two comparison systems and using a comparison principle, several conditions under which the system has a solution are obtained... 


Articles Collections

Thematic series
Mathematical Models of Infectious Diseases
Advances in Difference Equations
Edited by: Abdon Atangana, Muhammad Altaf Khan, Jose Francisco Gomez Aguila, Dumitru Baleanu, Emile Franc Doungmo Goufo, Abdullahi Yusuf
Collection published: Ongoing

View all collections

Aims and scope

The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions.

The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between.

The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations.

Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.

Open Thematic Series

Fixed Point Theory and Applications to Fractional Ordinary and Partial Difference and Differential Equations
Deadline for submission: 31 August 2021

Difference Equations, Special Functions and Orthogonal Polynomials
Deadline for submission: 31 August 2021

Annual Journal Metrics


​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

Interim Editor-in-Chief

New Content ItemSong Wang, Curtin University, Australia | 

Song Wang's SpringerNature Publications