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arXiv · 1610.05524

Initial boundary value problems for a fractional differential equation with hyper-Bessel operator

Fatma Al-Musalhi·Nasser Al-Salti·Erkinjon Karimov
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Abstract

Direct and inverse source problems of a fractional diffusion equation with regularized Caputo-like counterpart hyper-Bessel operator are considered. Solutions to these problems are constructed based on appropriate eigenfunction expansion and results on existence and uniqueness are established. To solve the resultant equations, a solution to a non-homogeneous fractional differential equation with regularized Caputo-like counterpart hyper-Bessel operator is also presented.

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Fatma Al-Musalhi, Nasser Al-Salti, Erkinjon Karimov. 2016-10-18. Initial boundary value problems for a fractional differential equation with hyper-Bessel operator. https://arxiv.org/abs/1610.05524

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