Theorems of Fractional-Order Circuits

In traditional integer-order circuit theory, there are many fundamental theorems, including Superposition theorem, Substitution theorem, Thevenin’s theorem, Norton’s theorem, Tellegen’s theorem, Reciprocity theorem, Duality theorem, Compensation theorem, and Bisection theorem. According to Kirchhoff’s laws and the basic characteristics of fractional-order components, these theorems can be extended to fractional-order circuits. This chapter analyzes fractional-order circuits and discusses the applicability of these theorems, which is helpful for exploring the basic characteristics of fractional-order circuits.