Theoretical analysis and experimental verification of fractional-order RC cobweb circuit network

Electrical characteristics of a fractional-order 3 × n Fan network

“…In the continuous research process, several definitions of fractional calculus (such as Grünwald-Letnikov, Caputo, Riesz, and Riemann-Liouville) have already coexisted [31][32][33]. Now researchers have applied FO fractional calculus theory to the study of FOCs [34,35].…”

“…People have found that actual LC circuits are usually FO [8][9][10][11][12][13][14][15][25][26][27][28][29][30][31][32][33][34][35][36][37]; therefore the study of FOCs has practical application value. In this article, our results make some theoretical contributions to the development of FO 3 × n Fan circuit networks.…”

“…References [30][31][32][33] have had a significant impact on the definition and research of fractional calculus. In recent years, a number of researchers have devoted themselves to the study of FOC theory [34][35][36][37]; among them, some of the literature focuses on physical analysis [34], some focus on circuit models [35], while others focus on mathematical analysis [36,37]. Researchers have found that the study of FOCs can be directly implemented using resistor network theory, and numerous studies have made many achievements in the study of resistor network models.…”