ArticleScientific reports2024
Application of Newton's polynomial interpolation scheme for variable order fractional derivative with power-law kernel.
Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Existence and controllability analysis of multi-term fractional coupled systems with generalized [Formula: see text]-Caputo-Fabrizio operators.Scientific reports · 2025Article
- Analysis of variable-order fractional enzyme kinetics model with time delay.Scientific reports · 2025Article
- High performance computational approach to study model describing reversible two-step enzymatic reaction with time fractional derivative.Scientific reports · 2024Article
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2 authors.
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Abstract
This paper, offers a new method for simulating variable-order fractional differential operators with numerous types of fractional derivatives, such as the Caputo derivative, the Caputo-Fabrizio derivative, the Atangana-Baleanu fractal and fractional derivative, and the Atangana-Baleanu Caputo derivative via power-law kernels. Modeling chaotical systems and nonlinear fractional differential equations can be accomplished with the utilization of variable-order differential operators. The computational structures are based on the fractional calculus and Newton's polynomial interpolation. These methods are applied to different variable-order fractional derivatives for Wang-Sun, Rucklidge, and Rikitake systems. We illustrate this novel approach's significance and effectiveness through numerical examples.
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