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An Inverse Problem for Anomalous Diffusion Equation with Bi-Ordinal Hilfer’s Derivative

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Abstract

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.

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Correspondence to V. M. Bulavatsky.

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Translated from Kibernetika i Sistemnyi Analiz, No. 2, March–April, 2019, pp. 73–81.

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Bulavatsky, V.M. An Inverse Problem for Anomalous Diffusion Equation with Bi-Ordinal Hilfer’s Derivative. Cybern Syst Anal 55, 232–239 (2019). https://doi.org/10.1007/s10559-019-00127-6

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