Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative

Joint Authors

Yang, Xiao-Jun
Cattani, Carlo
Yang, Ai-Ming
Jafari, Hossein

Source

Abstract and Applied Analysis

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-12-17

Country of Publication

Egypt

No. of Pages

5

Main Subjects

Mathematics

Abstract EN

The one-dimensional heat equations with the heat generation arising in fractal transient conduction associated with local fractional derivative operators are investigated.

Analytical solutions are obtained by using the local fractional Adomian decomposition method via local fractional calculus theory.

The method in general is easy to implement and yields good results.

Illustrative examples are included to demonstrate the validity and applicability of the new technique.

American Psychological Association (APA)

Yang, Ai-Ming& Cattani, Carlo& Jafari, Hossein& Yang, Xiao-Jun. 2013. Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-473488

Modern Language Association (MLA)

Yang, Ai-Ming…[et al.]. Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-473488

American Medical Association (AMA)

Yang, Ai-Ming& Cattani, Carlo& Jafari, Hossein& Yang, Xiao-Jun. Analytical Solutions of the One-Dimensional Heat Equations Arising in Fractal Transient Conduction with Local Fractional Derivative. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-473488

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-473488