Sara Aziz, Salman A. Malik
Abstract:
In this article, we considered two inverse source problems for fourth-order
parabolic differential equation with fractional derivative in time.
Determination of a space dependent source term from the data given at
some time t=T is considered in one problem while other addresses the
recovery of a time dependent source term from the integral type
over-determination condition. Existence and uniqueness of the solution
of both inverse source problems are proved. The stability results for
the inverse problems are presented.
Submitted June 8, 2016. Published November 11, 2016.
Math Subject Classifications: 80A23, 65N21, 26A33, 45J05, 34K37, 42A16.
Key Words: Inverse problem; fractional derivative; integral equation;
Riesz basis; bi-orthogonal system of functions; Fourier series.
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| Sara Aziz Department of Mathematics COMSATS Institute of Information Technology Park Road, Chak Shahzad Islamabad, Pakistan email: sara_aziz_pk@yahoo.com | |
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Salman A. Malik Department of Mathematics COMSATS Institute of Information Technology Park Road, Chak Shahzad Islamabad, Pakistan email: salman_amin@comsats.edu.pk, salman.amin.malik@gmail.com |
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