### 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

### Cite this

**Inverse Problems of a Fractional Differential Equation with Bessel Operator.** / Al-Musalhi, F.; Al-Salti, N.; Kerbal, S.

Research output: Contribution to journal › Article

*Mathematical Modelling of Natural Phenomena*, vol. 12, no. 3, pp. 105-113. https://doi.org/10.1051/mmnp/201712310

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TY - JOUR

T1 - Inverse Problems of a Fractional Differential Equation with Bessel Operator

AU - Al-Musalhi, F.

AU - Al-Salti, N.

AU - Kerbal, S.

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Bessel operator

KW - Caputo derivative

KW - Fractional differential equation

KW - Inverse problem

UR - http://www.scopus.com/inward/record.url?scp=85020185768&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85020185768&partnerID=8YFLogxK

U2 - 10.1051/mmnp/201712310

DO - 10.1051/mmnp/201712310

M3 - Article

VL - 12

SP - 105

EP - 113

JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

SN - 0973-5348

IS - 3

ER -