Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017Special functions and analysis of PDEs
|Page(s)||105 - 113|
|Published online||31 May 2017|
Inverse Problems of a Fractional Differential Equation with Bessel Operator
Department of Mathematics and Statistics, Sultan Qaboos University P.O. Box 36, PC 123 Al Khoudh, Muscat, Oman
* Corresponding author. E-mail: firstname.lastname@example.org
Inverse initial and inverse source problems of a time-fractional differential equation with Bessel operator are considered. Results on existence and uniqueness of solutions to these problems are presented. The solution method is based on series expansions using a set of Bessel functions of order zero. Convergence of the obtained series solutions is also discussed.
Mathematics Subject Classification: 26A33 / 34A08 / 34B30 / 35R30
Key words: Fractional differential equation / Bessel operator / inverse problem / Caputo derivative
© EDP Sciences, 2017
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.