Table 1 Comparative analysis with other fractional derivatives.

From: Some novel optical pulses in hydrodynamical nonlinear complex equation using M-truncated fractional derivative

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