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Simple Electric Circuit with Memory Under Λ-Fractional Calculus

Year: 2026

Type: article

Abstract: 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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract10070444

Authors: Dimitrios Karaoulanis, Anastasios Lazopoulos, Konstantinos A. Lazopoulos

Institutions: National Technical University of Athens, Hellenic Military Academy

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

OpenAlex ID: W7166584966

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