Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition

Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition

We consider a linear heat equation involving a fractional derivative in time, with a nonlocal boundary condition. We determine a source term independent of the space variable, and the temperature distribution for a problem with an over-determining condition of integral type. We prove the exis...

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Bibliographic Details
Main Authors: Timurkhan S. Aleroev, Mokhtar Kirane, Salman A. Malik
Format: Article
Language:English
Published: Texas State University 2013-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Inverse problem
heat equation
fractional derivative
integral equations
bi-orthogonal system of functions
Fourier series
Online Access:http://ejde.math.txstate.edu/Volumes/2013/270/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2013/270/abstr.html

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