The DOI matches its Crossref record.
Local Fractional Fokker-Planck Equation
Open accessAbstract
We propose a new class of differential equations, which we call local fractional differential equations. They involve local fractional derivatives and appear to be suitable to deal with phenomena taking place in fractal space and time. A local fractional analog of the Fokker-Planck equation has been derived starting from the Chapman-Kolmogorov condition. We solve the equation with a specific choice of the transition probability and show how subdiffusive behavior can arise.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Jumarie, G. (2010) · Computers & Mathematics with Applications · doi:10.1016/j.camwa.2009.05.015 · Cited by 324
An Adaptive Optimization Algorithm in LSTM for SOC Estimation Based on Improved Borges Derivative
Jia, K., Gao, Z., Ma, R., Chai, H., & Sun, S. (2024) · IEEE Transactions on Industrial Informatics · doi:10.1109/tii.2023.3280340 · Cited by 29
Metadata
- Authors
- Kolwankar, K. M., & Gangal, A. D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-01-12
- Volume
- 80
- Issue
- 2
- Pages
- 214-217
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2089608075
- Cited by
- 296
- References
- 0
- FWCI
- 19.20
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Local Fractional Fokker-Planck Equation. https://app.cochat.ai/papers/10.1103/physrevlett.80.214
- The paper
- Kolwankar, K. M., & Gangal, A. D. (1998). Local Fractional Fokker-Planck Equation. Physical Review Letters. https://doi.org/10.1103/physrevlett.80.214
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
