Знайдено достатнi умови однозначної розв’язностi оберненої задачi знаходження m невiдомих функцiй iз розподiлiв типу Шварца у правiй частинi рiвняння дифузiї з дробовою похiдною Джрбашяна-Нерсесяна-Капуто за часом при використаннi m iнтегральних за часом умов перевизначення. Задача зводиться до розв’язування лiнiйного операторного рiвняння другого роду стосовно невiдомого розв’язку задачi Кошi, неперервного зi значеннями у просторi розподiлiв Шварца, i лiнiйної неоднорiдної алгебричної системи
рiвнянь для знаходження виразiв невiдомих функцiй через нього.

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