Advances in Fractional-Order Difference and Differential Equations
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: 20 December 2025 | Viewed by 20
Special Issue Editors
Interests: research in dynamical systems; vibrating systems; chaos and bifurcation; guitar playing
Special Issues, Collections and Topics in MDPI journals
Interests: fluid dynamics (Newtonian and non-Newtonian fluids; heat and mass transfer; viscoelastic models with memory; fractional thermoelasticity)
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional-order difference and differential equations serve as robust tools for modeling, analyzing, and controlling systems characterized by memory effects, non-local interactions, and complex dynamic behavior, making them essential in contemporary applied mathematics and engineering. This Special Issue, “Advances in Fractional-Order Difference and Differential Equations”, functions as a focused knowledge platform, facilitating the development and application of advanced methodologies while fostering collaboration and knowledge exchange within the global research community.
Dr. Azhar Ali Zafar
Prof. Dr. Nehad Ali Shah
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. 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.
Keywords
- fractional calculus
- non-integer order systems
- memory effects
- non-local operators
- anomalous diffusion
- hereditary systems
- control systems
- signal processing
- viscoelastic materials
- biological systems
- heat and mass transfer
- financial modeling
- image processing
- epidemiological modeling
- discrete dynamical systems
- operator theory
- stability analysis
- existence and uniqueness
- Laplace transform method
- Adomian decomposition
- finite difference schemes
- predictor–corrector method
Benefits of Publishing in a Special Issue
- Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
- Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
- Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
- External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
- Reprint: MDPI Books provides the opportunity to republish successful Special Issues in book format, both online and in print.
Further information on MDPI's Special Issue policies can be found here.
