Inverse Problems of a Fractional Differential Equation with Bessel Operator

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

Research output: Contribution to journalArticle

3 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 languageEnglish
Pages (from-to)105-113
Number of pages9
JournalMathematical Modelling of Natural Phenomena
Volume12
Issue number3
DOIs
Publication statusPublished - 2017

Fingerprint

Bessel Operator
Inverse Source Problem
Bessel functions
Series Solution
Bessel Functions
Fractional Differential Equation
Existence and Uniqueness of Solutions
Series Expansion
Inverse problems
Mathematical operators
Inverse Problem
Differential equations
Zero

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.

In: Mathematical Modelling of Natural Phenomena, Vol. 12, No. 3, 2017, p. 105-113.

Research output: Contribution to journalArticle

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