Table 1 Comparative analysis with other fractional derivatives.
Derivatives types | Advantages | Disadvantages | Why M-truncated derivative is better |
---|---|---|---|
Caputo | Handles classical ICs | Singular kernel, slow decay | No singularity, faster decay |
AB | Mittag-Leffler memory | Computationally expensive | Simpler kernel, easier solvers |
Conformable | Local definition | Lacks non-locality | Retains memory effects |
M-truncated | Tunable, stable, non-singular | Less established | Best balance for this problem |