### Abstract

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.

Original language | English |
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Pages (from-to) | 105-113 |

Number of pages | 9 |

Journal | Mathematical Modelling of Natural Phenomena |

Volume | 12 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2017 |

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### Keywords

- Bessel operator
- Caputo derivative
- Fractional differential equation
- Inverse problem

### ASJC Scopus subject areas

- Modelling and Simulation