Bulavatsky V.M.
An inverse problem for anomalous diffusion with bi-ordinal Hilfer's derivative

The author formulates and solves the inverse problem of finding the field function and the source function dependent on the geometric variable for the anomalous diffusion equation with bi-ordinal Hilfer’s fractional derivative and variable direction of time. The existence and uniqueness of the solution of the problem are established. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: anomalous diffusion, bi-ordinal Hilfer’s derivative, equations with variable direction of time, fractional differential diffusion equation, inverse problem, Diffusion, Partial differential equations, Anomalous diffusion, Anomalous diffusion equations, Direction of time, Existence and uniqueness, Fractional derivatives, Fractional differential, Geometric variables, Source functions, Inverse problems

Cite:
Bulavatsky V.M. (2019). An inverse problem for anomalous diffusion with bi-ordinal Hilfer's derivative. Cybernetics and Systems Analysis, 55 (2), 73-81. doi: https://doi.org/10.1007/s10559-019-00127-6 http://jnas.nbuv.gov.ua/article/UJRN-0000968697 [In Russian].