On the variable order Weyl-Marchaud fractional derivative of non-affine fractal function

Chinnathambi, Kavitha; Gowrisankar, A.

doi:10.1007/s41478-023-00566-7

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article4

Book1

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 6 publications

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Variable‐order Caputo derivative of LC and RC circuits system with numerical analysis

Naveen,

Parthiban

2024

Circuit Theory & Apps

View full text Add to dashboard Cite

SummaryIn this paper, computational analysis of a Caputo fractional variable‐order system with inductor‐capacitor (LC) and resistor‐capacitor (RC) electrical circuit models is presented. The existence and uniqueness of solutions to the given problem are determined using Schaefer's fixed point theorem and the Banach contraction principle, respectively. The proposed problem's computational consequences are addressed and analyzed using modified Euler and Runge–Kutta fourth‐order techniques. Furthermore, the suggested model compares several orders, including integer, fractional, and variable orders. To demonstrate the utility of the proposed approach, computational simulations are carried out on LC and RC circuit models of various orders. Furthermore, a comparative analysis with previous investigations has been carried. For the given problem, the numerical solution results in high‐precision approximations.

show abstract