Advanced Theoretical and Numerical Methods for Fractional Differential and Difference Equations
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 31 May 2026 | Viewed by 103
Special Issue Editor
Interests: difference equations; discrete fractional calculus; discrete dynamical systems; fractional calculus; stability
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Fractional differential and difference equations (FDEs) have emerged as a powerful framework for modeling complex dynamical systems with memory, hereditary effects, and anomalous diffusion—phenomena commonly found in physics, biology, finance, and engineering. As interest in fractional models grows, so too does the need for deeper theoretical understanding and more effective computational techniques.
This Special Issue aims to bring together cutting-edge research that advances both the theoretical analysis and numerical treatment of FDEs. We welcome original research articles. Topics of interest include, but are not limited to, the following:
- Fundamental theory and qualitative analysis of fractional systems;
- Numerical schemes for time-fractional and space-fractional equations;
- Convergence and error analysis of algorithms;
- Applications in science and engineering driven by fractional modeling;
- Methods for variable-order and distributed-order FDEs.
Dr. Churong Chen
Guest Editor
Manuscript Submission Information
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Keywords
- fractional
- stability
- numerical solutions
- dynamical systems
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