Mild Solutions of a Fractional PDE with Noise

Noureddine Bouteraa of Université Oran 1 Ahmed Ben Bella authored a paper studying mild solutions of a fractional partial differential equation disturbed by multiplicative white noise. The work employs techniques of semigroup theory, Hausdorff measure, and Darbo fixed point theorem. The dataset likely contains mathematical or simulation results supporting this analysis.

Use Cases

• Benchmarking numerical solvers for fractional PDEs based on the described theoretical framework.
• Studying the properties of mild solutions under multiplicative noise as described in the paper.
• Applying semigroup theory and fixed-point theorems to stochastic systems as outlined in the description.

Strengths

• The dataset is associated with a formal academic paper by a named author and institution.
• The description specifies the use of advanced mathematical techniques like semigroup theory and Hausdorff measure.

Limitations

• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.
• Description metadata is limited; actual data quality requires manual inspection after download.

Provenance

Source

Noureddine Bouteraa, Université Oran 1 Ahmed Ben Bella

Collection Method

Likely generated through mathematical analysis or simulation for the published paper.