UDC 517.9:519.6
1 V.M. Glushkov Institute of Cybernetics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
 v_bulav@ukr.net
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AN INVERSE PROBLEM FOR ANOMALOUS DIFFUSІON
WITH BI-ORDINAL HILFER’S DERIVATIVE
Abstract. The formulation is completed and solution of the inverse problem is obtained for determining the field function and the function dependent on the geometric variable source 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 considered problem are established.
Keywords: anomalous diffusion, fractional differential diffusion equation, bi-ordinal Hilfer’s derivative, equations with variable direction of time, inverse problem.
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