| Issue |
Math. Model. Nat. Phenom.
Volume 12, Number 3, 2017
Special functions and analysis of PDEs
|
|
|---|---|---|
| Page(s) | 105 - 113 | |
| DOI | https://doi.org/10.1051/mmnp/201712310 | |
| 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: nalsalti@squ.edu.om
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
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