• Andrii Hulianytskyi Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • Kostiantyn Tokar Faculty of Computer Science and Cybernetics, Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Keywords: first-passage time, subdiffusion, continuous-time random walk, fractional differential equations, Caputo derivative


In the work considered process of continuous-time random walk, that has fat-tailed jump waiting time, on an equispaced grid of one-dimensional domain with absorbing boundary. Deduced fractional equation w.r.t. cumulative distribution function of first passage time. Obtained asymptotic of density of this variable and shown that it has fat tail.


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