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The application of generalized and fractional derivatives, such as Caputo and Riemann-Liouville derivatives, has witnessed a dramatic increase in recent years. This reprint focuses on related theoretical and applied research in areas such as the stability of time series, Lotka-Volterra systems, distributed delays, Fornberg-Whitham equations, abstract evolution and fractional wave equations, cantilever beams, and fractional Riccati and Volterra equations, as well as fractional visco-elasto-plasticity, spectral theory for fractional Sturm-Liouville problems, generalized differential equations, Mittag-Leffler functions, and fractional Laplacians.