On fuzzy fractional Schrödinger equations under Caputo’s <italic>H</italic>-differentiability1.

In this paper, we initiate to investigate the existence and uniqueness of solutions to initial value problems for fuzzy fractional Schrödinger equations involving the Caputo’s <italic>H</italic>-derivative. Continuous dependence on initial values of the solution is also considered. Our results are based on a successive approximation method and the Banach contraction mapping principle. Two examples are presented for our new results. [ABSTRACT FROM AUTHOR]