5. Conclusion
This manuscript is investigated to present the fractal-fractional model based on highly non-linear for mathematical model of memristor in terms of fractal-fractional differential operator so called Atangana-Baleanu, Caputo-Fabrizio and Caputo fractal-fractional differential operator. The numerical solutions for mathematical model of memristor have extensively been discussed by means of Adams-Bashforth-Moulton method. With the help of numerical schemes of fractal-fractional differential operators, chaotic behavior of memristor under three criteria is discussed as (i) varying fractal order, we fixed fractional order, (ii) varying fractional order, we fixed fractal order and (ii) varying fractal and fractional orders simultaneously. Such analysis of attractors is simulated via MATLAB. At the end, chaotic behaviors of memristor suggest that newly presented Atangana-Baleanu, Caputo-Fabrizio and Caputo fractal-fractional differential operator has generates significant results as compared with classical approach.