Conformable fractional wave equation and conformable fractional KdV equation from the ordinary Newton equation with deformed translational symmetry

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F25%3A50019598" target="_blank" >RIV/62690094:18470/25:50019598 - isvavai.cz</a>

Result on the web

<a href="https://www.tandfonline.com/doi/abs/10.1080/17455030.2022.2029615?journalCode=twrm20" target="_blank" >https://www.tandfonline.com/doi/abs/10.1080/17455030.2022.2029615?journalCode=twrm20</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/17455030.2022.2029615" target="_blank" >10.1080/17455030.2022.2029615</a>

Result language

angličtina

Original language name

Conformable fractional wave equation and conformable fractional KdV equation from the ordinary Newton equation with deformed translational symmetry

Original language description

In this paper, we derive the conformable fractional wave equation and conformable fractional KdV equation from the ordinary Newton equation with deformed translational symmetry. At first, we obtain a solution to the dimensionless 1D conformable wave equation with fixed ends, and then we study the D&apos;Alembert solution for full space. Next, we examine the dimensionless 2D conformable fractional wave equation in the deformed disk. Finally, we derive the conformable fractional KdV equation and explore its solution.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

—

OECD FORD branch

10303 - Particles and field physics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Waves in Random and Complex Media

ISSN

1745-5030

e-ISSN

1745-5049

Volume of the periodical

35

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

12

Pages from-to

1115-1126

UT code for WoS article

000753074400001

EID of the result in the Scopus database

2-s2.0-86000383216