About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives
Joint Authors
Abdullaev, Obidjon Kh.
Sadarangani, Kishin B.
Source
International Journal of Differential Equations
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-23
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
An existence and uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated.
The uniqueness of solution is proved by the method of integral energy and the existence is proved by the method of integral equations.
Let us note that, from this problem, the same problem follows with continuous gluing conditions (at λ=1); thus an existence theorem and uniqueness theorem will be correct and on this case.
American Psychological Association (APA)
Sadarangani, Kishin B.& Abdullaev, Obidjon Kh.. 2016. About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives. International Journal of Differential Equations،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1105725
Modern Language Association (MLA)
Sadarangani, Kishin B.& Abdullaev, Obidjon Kh.. About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives. International Journal of Differential Equations No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1105725
American Medical Association (AMA)
Sadarangani, Kishin B.& Abdullaev, Obidjon Kh.. About a Problem for Loaded Parabolic-Hyperbolic Type Equation with Fractional Derivatives. International Journal of Differential Equations. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1105725
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1105725