Inverse Problems of a Fractional Differential Equation with Bessel Operator

F. Al-Musalhi; N. Al-Salti; S. Kerbal

doi:10.1051/mmnp/201712310

Inverse Problems of a Fractional Differential Equation with Bessel Operator

F. Al-Musalhi, N. Al-Salti^*, S. Kerbal

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

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
Pages (from-to)	105-113
Number of pages	9
Journal	Mathematical Modelling of Natural Phenomena
Volume	12
Issue number	3
DOIs	https://doi.org/10.1051/mmnp/201712310
Publication status	Published - 2017

Keywords

Bessel operator
Caputo derivative
Fractional differential equation
Inverse problem

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

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10.1051/mmnp/201712310

Cite this

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title = "Inverse Problems of a Fractional Differential Equation with Bessel Operator",

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.",

keywords = "Bessel operator, Caputo derivative, Fractional differential equation, Inverse problem",

author = "F. Al-Musalhi and N. Al-Salti and S. Kerbal",

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year = "2017",

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AU - Al-Musalhi, F.

AU - Al-Salti, N.

AU - Kerbal, S.

N1 - Publisher Copyright: © EDP Sciences, 2017.

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

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ER -

Inverse Problems of a Fractional Differential Equation with Bessel Operator

Abstract

Keywords

ASJC Scopus subject areas

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