Analytic General Conformable Semigroup
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Bibliographic record
Abstract
Conformable fractional derivative is introduced by [1] to simplify the definition of fractional derivatives since most of them used an integral form which is difficult to solve real problem. However, [1] defined the conformable fractional derivative by considering a particular conformable fractional function t1−α. In this study, general conformable fractional Cauchy problem is considered and solved by using general conformable Laplace transform to obtain the solution operator of general conformable fractional Cauchy problem. Properties of classical semigroup are employed to retrieve the properties of general conformable semigroup from the solution operator of general conformable fractional Cauchy problem. Consequently, general conformable semigroup properties can be used to detemine the regularity of general conformable fractional Cauchy problem including its existence and uniqueness of the solution.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it