Manuscript Topics

Fractional differential equations (FDEs) have gained significant attention in recent decades due to their ability to model complex dynamics more accurately than classical integer-order models. Their nonlocal and memory-dependent nature makes them particularly effective in describing processes in viscoelasticity, anomalous diffusion, control theory, signal processing, and many areas of physics, biology, and finance. This special issue, “Fractional Differential Equations: Theory and Applications”, aims to bring together high-quality research contributions that explore both the theoretical foundations and practical applications of FDEs. Topics of interest include, but are not limited to, existence and uniqueness results, control and optimization, and interdisciplinary models involving fractional operators. We particularly welcome original research articles and comprehensive reviews that advance the understanding and application of fractional calculus in diverse scientific fields.

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