Advances in Fractional Calculus for Modeling and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 35
Special Issue Editors
Interests: fractional differential equation; ordinary differential equation; integral inequalities; qualitative theory of ordinary and fractional differential equations
Special Issue Information
Dear Colleagues,
We are pleased to introduce the Special Issue “Advances in Fractional Calculus for Modeling and Applications”. This collection is devoted to recent developments in fractional calculus and its growing significance as a tool for analyzing and modeling complex systems in science and engineering.
Classical integer-order models often encounter difficulties when dealing with processes that involve memory, long-range dependence, or nonlocal dynamics. Fractional calculus, by generalizing differentiation and integration to non-integer orders, offers a more flexible and precise framework to capture such effects. Its ability to represent real-world phenomena with higher fidelity has led to increasing applications in many areas, including physics, biology, medicine, engineering, finance, and even interdisciplinary fields such as geophysics, energy, and social systems.
The scope of this Special Issue includes new results on fractional differential equations, anomalous diffusion and transport, hereditary phenomena, fractional-order control, as well as computational and numerical approaches for simulation. We also encourage submissions that introduce novel analytical techniques, efficient algorithms, and interdisciplinary applications that demonstrate the practical impact of fractional models.
Our goal is to bring together contributions that connect theoretical progress with practical implementations, creating a valuable reference for researchers, while further promoting the use of fractional calculus in addressing contemporary challenges.
We warmly invite you to contribute your latest findings and perspectives to this Special Issue.
Prof. Dr. Assia Guezane-Lakoud
Prof. Dr. Rabah Khaldi
Guest Editors
Manuscript Submission Information
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Keywords
- fractional calculus
- non-integer order modeling
- fractional differential equations
- fractional integral inequalities
- fractional-order control
- computational and numerical methods
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