Fractional optical properties of Drude model

Stability of Nonlinear Implicit Differential Equations with Caputo–Katugampola Fractional Derivative

“…Due to the nonlocal properties of fractional derivatives, fractional differential equations can better describe complex processes and systems with genetic effects and memory. Their descriptions of complex phenomena have the advantages of clear physical meaning, fewer parameters and consistent experimental results [5][6][7][8][9][10], so they are useful tools in the mathematical modeling of complex mechanics and physical processes. Fractional differential equations are an important mathematical tool, in which the Caputo-Katugampola fractional derivative overcomes the shortcomings of traditional fractional derivative operators such as the Caputo derivative, which is a new research development at present.…”