API Reference

Comprehensive API documentation for all HPFRACC modules, organized by functional area.

Sectional API references

API by area

• Core API Reference
  • Fractional Order Definitions
  • Core Utilities
  • Main Module
• Derivatives and Integrals API Reference
  • Layout
  • Canonical derivative engines
  • Core Derivatives (factory and base classes)
  • Optimized Methods (aliases)
  • Integral methods (algorithms)
  • Advanced Methods
  • Special Methods
  • Fractional Implementations
  • Core Integrals
• Solvers API Reference
  • ODE Solvers
  • PDE Solvers
  • SDE Solvers
  • Noise Models
  • Coupled graph–SDE solvers
  • JAX / Diffrax utilities (optional)
• Fractional Neural Networks API Reference
  • Architecture note
  • Native discrete fractional map (for advanced use)
  • Spectral Autograd
  • Stochastic Memory Sampling
  • Probabilistic Fractional Orders
  • Variance-Aware Training
  • GPU Optimization
  • Backend Management
  • Neural Networks
  • Neural ODEs
  • Layers
  • Tensor Operations
• Fractional Graph Neural Networks API Reference
  • GNN Layers
  • GNN Models
• Neural ODEs and SDEs API Reference
  • Neural ODEs
  • Neural fSDE
  • SDE Solvers
  • Noise Models
• Special operators vs mathematical special functions
  • Fractional operator extensions
  • Mathematical special functions

Complete module reference

Flat automodule listing (full package surface):

• API Reference