Simple Electric Circuit with Memory Under Λ-Fractional Calculus

A simple electric circuit with memory is discussed, adopting global analysis through fractional analysis. The already presented Fractional analysis with Caputo derivatives, although widely used, fails to satisfy the prerequisites of Differential Topology for a derivative. Hence, they are unable to formulate differential analysis, especially differential geometry. However, the Λ-fractional derivatives can be created for any positive order. In the present analysis, the Λ-fractional analysis is also applied to fractional orders γ with 0 < γ. Although extension of γ is presented for 1 < γ < 2, there is no restriction for extending the present analysis to any 0 < γ.