Comparison

Classical vs fractional comparison

One of the most important capabilities in Phractals is not just solving a fractional model, but showing clearly when the additional model complexity changes the answer in a meaningful way. This comparison layer is essential for trust and adoption.

Capability overview

Classical vs fractional comparison workflows for engineering decision-making.

Make the added value of fractional modeling visible rather than assumed.
Support engineering review with side-by-side plots, fields, and metrics.
Help teams decide when a classical model is sufficient and when it is not.
Workflow placeholder
01

Build the classical baseline

Placeholder for the integer-order reference case and the assumptions behind it.

02

Run the fractional counterpart

Placeholder for the corresponding fractional setup and tuned parameters.

03

Compare what changes

Placeholder for plots, metrics, and engineering interpretation of the differences.

Examples

Example problem layouts for this capability.

These pages are set up to hold detailed examples later. For now, each example includes structured placeholder blocks for the major steps in a Phractals workflow.

Example case

Transport comparison benchmark

Placeholder for a benchmark case showing where the classical and fractional predictions diverge enough to matter.

Classical model placeholder
Fractional model placeholder
Error metric placeholder
Decision summary placeholder
Example case

Material response comparison study

Placeholder for an example where fractional constitutive response better matches observed history-dependent behavior.

Load protocol placeholder
Classical fit placeholder
Fractional fit placeholder
Result comparison placeholder
Next step

Want a real example here?

This page is ready to hold detailed Phractals examples. We can add benchmark cases, application studies, screenshots, and step-by-step outputs for this capability next.