Evidence map›Paper›PMID 26146456›Full record

ArticleNonlinear dynamics2015

STOCHASTIC SOLUTIONS FOR FRACTIONAL WAVE EQUATIONS.

Mark M Meerschaert, René L Schilling, Alla Sikorskii

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Nonlinear dynamics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Mark M MeerschaertDepartment of Statistics & Probability, Michigan State University, East Lansing MI 48824 USA. URL: http://www.stt.msu.edu/users/mcubed/
René L SchillingInstitut für Mathematische Stochastik, Technische Universität Dresden, Germany, URL: http://www.math.tu-dresden.de/sto/schilling/
Alla SikorskiiDepartment of Statistics & Probability, Michigan State University, East Lansing MI 48824 USA. URL: http://www.stt.msu.edu/users/sikorska/

Funding

Fast Numerical Modeling Of Medical Ultrasound For Therapy And ImagingR01EB012079 · NIBIB · MICHIGAN STATE UNIVERSITY · PI MCGOUGH, ROBERT J · 2010 to 2022
$2.3M
NIBIB NIH HHS R01 EB012079
6 · The paper itself

Abstract

A fractional wave equation replaces the second time derivative by a Caputo derivative of order between one and two. In this paper, we show that the fractional wave equation governs a stochastic model for wave propagation, with deterministic time replaced by the inverse of a stable subordinator whose index is one half the order of the fractional time derivative.

Identifiers

PMID26146456
PMCPMC4489163

What OpenQuestion holds

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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.