Preprint

On boundary-value problems for a partial differential equation with Caputo and Bessel operators

Praveen AgarwalDepartment of Mathematics , Anand International College of Engineering , Jaipur- 303012 , IndiaErkinjon KarimovInstitute of Mathematics , National University of Uzbekistan , Tashkent , 100125 , UzbekistanM. O. MamchuevDepartment of Theoretical and Mathematical Physics , Institute of Applied Mathematics and Au- tomation , Shortanova str. 89-A , Nalchik , 360000 Kabardino-Balkar Republic , RussiaMichael RuzhanskyDepartment of Mathematics , Imperial College London , 180 Queens Gate , London SW7 2AZ United Kingdom

2016en

ABI

Annotatsiya

In this work, we investigate a unique solvability of a direct and inverse source problem for a time-fractional partial differential equation with the Caputo and Bessel operators. Using spectral expansion method, we give explicit forms of solutions to formulated problems in terms of multinomial Mittag-Leffler and first kind Bessel functions.

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DOI: 10.48550/arxiv.1611.01624

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