Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space

Wei Jiang; Yingzhen Lin

doi:10.1016/j.cnsns.2010.12.019

Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space

Wei Jiang^*
, Yingzhen Lin

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

67 Scopus citations

Abstract

The reproducing kernel theorem is used to solve the time-fractional telegraph equation with Robin boundary value conditions. The time-fractional derivative is considered in the Caputo sense. We discuss and derive the exact solution in the form of series with easily computable terms in the reproducing kernel space.

Original language	English
Pages (from-to)	3639-3645
Number of pages	7
Journal	Communications in Nonlinear Science and Numerical Simulation
Volume	16
Issue number	9
DOIs	https://doi.org/10.1016/j.cnsns.2010.12.019
State	Published - Sep 2011
Externally published	Yes

Keywords

Captuo fractional derivative
Reproducing kernel space
Telegraph equation

Access to Document

10.1016/j.cnsns.2010.12.019

Cite this

@article{ef99375ecf2846dbaa5856a487134310,

title = "Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space",

abstract = "The reproducing kernel theorem is used to solve the time-fractional telegraph equation with Robin boundary value conditions. The time-fractional derivative is considered in the Caputo sense. We discuss and derive the exact solution in the form of series with easily computable terms in the reproducing kernel space.",

keywords = "Captuo fractional derivative, Reproducing kernel space, Telegraph equation",

author = "Wei Jiang and Yingzhen Lin",

year = "2011",

month = sep,

doi = "10.1016/j.cnsns.2010.12.019",

language = "英语",

volume = "16",

pages = "3639--3645",

journal = "Communications in Nonlinear Science and Numerical Simulation",

issn = "1007-5704",

publisher = "Elsevier B.V.",

number = "9",

}

TY - JOUR

T1 - Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space

AU - Jiang, Wei

AU - Lin, Yingzhen

PY - 2011/9

Y1 - 2011/9

N2 - The reproducing kernel theorem is used to solve the time-fractional telegraph equation with Robin boundary value conditions. The time-fractional derivative is considered in the Caputo sense. We discuss and derive the exact solution in the form of series with easily computable terms in the reproducing kernel space.

AB - The reproducing kernel theorem is used to solve the time-fractional telegraph equation with Robin boundary value conditions. The time-fractional derivative is considered in the Caputo sense. We discuss and derive the exact solution in the form of series with easily computable terms in the reproducing kernel space.

KW - Captuo fractional derivative

KW - Reproducing kernel space

KW - Telegraph equation

UR - https://www.scopus.com/pages/publications/79953727843

U2 - 10.1016/j.cnsns.2010.12.019

DO - 10.1016/j.cnsns.2010.12.019

M3 - 文章

AN - SCOPUS:79953727843

SN - 1007-5704

VL - 16

SP - 3639

EP - 3645

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

IS - 9

ER -

Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this