In this work, we consider an initial problem for second order partial differential equations with Caputo fractional derivatives in the time-variable and Bessel operator in the space-variable. For non-local boundary conditions, we present a solution of this problem in an explicit form representing it by the Fourier-Bessel series. The obtained solution is written in terms of multinomial Mittag-Leffler functions and first kind Bessel functions.
"Non-local initial problem for second order time-fractional and space-singular equation." Hokkaido Math. J. 49 (2) 349 - 361, June 2020. https://doi.org/10.14492/hokmj/1602036030