Advances in Difference Equations

Aims & 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.

Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Directory of Open Access Journals (DOAJ)

Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

Licensing & Copyright

This journal operates under an Open Access model. Articles are freely accessible to the public immediately upon publication. The content is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0), allowing users to share and adapt the work with proper attribution.

Copyright remains with the author(s), and no permission is required for non-commercial use, provided the original source is cited.

Policy Links

This section provides access to essential policy documents, guidelines, and resources related to the journal’s publication and submission processes.

• Aims scope
• Homepage
• Oa statement
• Author instructions
• License terms
• Review url
• Board url
• Copyright url
• Plagiarism url
• Preservation url
• Apc url
• License

Plagiarism Policy

This journal follows a plagiarism policy. All submitted manuscripts are screened using reliable plagiarism detection software to ensure originality and academic integrity. Authors are responsible for proper citation and acknowledgment of all sources, and any form of plagiarism, including self-plagiarism, will not be tolerated.

For more details, please refer to our official: Plagiarism Policy.

APC Details

The journal’s Article Processing Charge (APC) policies support open access publishing in Mathematics, ensuring accessibility and quality in research dissemination.

This journal requires an Article Processing Charge (APC) to support open access publishing, covering peer review, editing, and distribution. The current APC is 1,190.00 GBP. Learn more.

Explore journals without APCs for alternative publishing options.

Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• New Existence Results for Nonlinear Fractional Differential Equations with Three-Point Integral Boundary Conditions

  Citation: 115

  Authors: Bashir, Sotiris K., Ahmed

• Multiple periodic solutions for a discrete time model of plankton allelopathy

  Citation: 107

  Authors: Jianbao, Hui

• A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

  Citation: 102

  Authors: Ravi P., Mohammed, Mouffak

• Existence Results for Nonlinear Fractional Difference Equation

  Citation: 90

  Authors: Fulai, Xiannan, Yong

• On a k-Order System of Lyness-Type Difference Equations

  Citation: 56

  Authors: G., C. J., G.

• Existence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations

  Citation: 51

  Authors: Peng, Hui

• Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)

  Citation: 50

  Authors: Fengrong, Changpin

• Representation of solutions of linear discrete systems with constant coefficients and pure delay

  Citation: 45

  Authors: J., D. YA.

• Basic properties of Sobolev's spaces on time scales

  Citation: 43

  Authors: Ravi P., Victoria, Kanishka, Dolores R.

• On the Difference equation xn+1=axn−bxn/(cxn−dxn−1)

  Citation: 38

  Authors: E. M., H., E. M.