Abstract
Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart of a hyper-Bessel differential operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansions and results on existence and uniqueness are established. To solve the resultant equations, a solution to such kind of non-homogeneous fractional differential equation is also presented.
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Al-Musalhi, F., Al-Salti, N. & Karimov, E. Initial boundary value problems for a fractional differential equation with hyper-Bessel operator. FCAA 21, 200–219 (2018). https://doi.org/10.1515/fca-2018-0013
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DOI: https://doi.org/10.1515/fca-2018-0013