Reconstruction of the initial function from the solution of the fractional wave equation measured in two geometric settings

<abstract><p>Photoacoustic tomography (PAT) is a novel and rapidly developing technique in the medical imaging field that based on generating acoustic waves inside of an object interest by stimulating non-ionizing laser pulses. This wave was measured using detector outside it then converted into image human body after several inversions. Thus, one mathematical problems PAT reconstructing initial function from solution equation object. In this study, we consider fractional assume point-like detectors are located sphere hyperplane. We demonstrate way to recover data, namely, equation, hyperplane.</p></abstract>