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.
CITATION STYLE
Agarwal, P., Karimov, E., Mamchuev, M., & Ruzhansky, M. (2017). On boundary-value problems for a partial differential equation with caputo and bessel operators. In Applied and Numerical Harmonic Analysis (pp. 707–718). Springer International Publishing. https://doi.org/10.1007/978-3-319-55556-0_9
Mendeley helps you to discover research relevant for your work.