A numerical study by Kashif Ali Abro from Mehran University of Engineering and Technology investigates the chaotic behavior of a memristor using fractal-fractional differential operators. The mathematical model is established with Atangana-Baleanu, Caputo-Fabrizio, and Caputo fractal-fractional differential operators. Simulated results via MATLAB suggest the new operators generate significant results compared to classical approaches.
Use Cases
- Modeling chaotic behavior in memristors based on fractal-fractional differential operators mentioned in the description
- Comparing numerical results from Atangana-Baleanu, Caputo-Fabrizio, and Caputo operators as described
- Analyzing system attractors under varying fractal and fractional orders as discussed in the criteria
Strengths
- The study presents a novel numerical approach for governing differential equations of memristors
- Chaotic behavior is analyzed under three specific criteria: varying fractal order, varying fractional order, and varying both simultaneously
Limitations
- Column-level documentation is absent; field semantics must be inferred after download
- Row count is unknown, which may limit suitability assessment
Provenance
- Source
- Kashif Ali Abro, Mehran University of Engineering and Technology