Inverse Problems of a Fractional Differential Equation with Bessel Operator

preprint2016arXivOpen access

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

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