Fractional telegrapher's equation with generalized memory kernels: characteristic crossover anomalous dynamics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73634583" target="_blank" >RIV/61989592:15310/25:73634583 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1402-4896/addca1/pdf" target="_blank" >https://iopscience.iop.org/article/10.1088/1402-4896/addca1/pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1402-4896/addca1" target="_blank" >10.1088/1402-4896/addca1</a>
Alternative languages
Result language
angličtina
Original language name
Fractional telegrapher's equation with generalized memory kernels: characteristic crossover anomalous dynamics
Original language description
We consider a generalization of the fractional telegrapher's equation by introducing memory kernels, which characterize the effects of the environment on the particle movement. By using the Fourier-Laplace transform method, we find the exact solution of the equation. We analyze the conditions under which the solution is nonnegative by using the theory of complete monotone and Bernstein functions. For a specific forms of the memory kernels we also show the nonnegativity of the solution by employing the subordination approach. The asymptotic behavior of the mean squared displacements of the fundamental solutions, in the short and long time limit, are analyzed by using Tauberian theorems. We show that the particle shows different characteristic crossover anomalous dynamics which might be useful to describe anomalous diffusive processes in complex media.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICA SCRIPTA
ISSN
0031-8949
e-ISSN
1402-4896
Volume of the periodical
100
Issue of the periodical within the volume
7
Country of publishing house
SE - SWEDEN
Number of pages
21
Pages from-to
"075205-1"-"075205-21"
UT code for WoS article
001502928400001
EID of the result in the Scopus database
2-s2.0-105007893969