On the Initial-Boundary-Value Problem for the Time-Fractional Diffusion Equation on the Real Positive Semiaxis
Joint Authors
Goos, D.
Reyero, G.
Roscani, S.
Santillan Marcus, E.
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-07
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We consider the time-fractional derivative in the Caputo sense of order α ∈ ( 0 , 1 ) .
Taking into account the asymptotic behavior and the existence of bounds for the Mainardi and the Wright function in R + , two different initial-boundary-value problems for the time-fractional diffusion equation on the real positive semiaxis are solved.
Moreover, the limit when α ↗ 1 of the respective solutions is analyzed, recovering the solutions of the classical boundary-value problems when α = 1, and the fractional diffusion equation becomes the heat equation.
American Psychological Association (APA)
Goos, D.& Reyero, G.& Roscani, S.& Santillan Marcus, E.. 2015. On the Initial-Boundary-Value Problem for the Time-Fractional Diffusion Equation on the Real Positive Semiaxis. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1065507
Modern Language Association (MLA)
Goos, D.…[et al.]. On the Initial-Boundary-Value Problem for the Time-Fractional Diffusion Equation on the Real Positive Semiaxis. International Journal of Differential Equations No. 2015 (2015), pp.1-14.
https://search.emarefa.net/detail/BIM-1065507
American Medical Association (AMA)
Goos, D.& Reyero, G.& Roscani, S.& Santillan Marcus, E.. On the Initial-Boundary-Value Problem for the Time-Fractional Diffusion Equation on the Real Positive Semiaxis. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-14.
https://search.emarefa.net/detail/BIM-1065507
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065507