The Solution of Fractal Diffusion Retrospective Problem

O. Yaremko¹ and E. Mogileva^1,

¹Physics and Mathematics faculty, Penza state university, Penza, Russia

Cite this paper:
O. Yaremko and E. Mogileva. The Solution of Fractal Diffusion Retrospective Problem. Applied Mathematics and Physics. 2013; 1(3):60-66. doi: 10.12691/amp-1-3-3

Abstract

In this article we study the retrospective inverse problem. The retrospective inverse problem consists of in the reconstruction of a priori unknown initial condition of the dynamic system from its known final condition. Existence and uniqueness of the solution is proved.

Keywords:
Hermite function retrospective problem integral equation fractal diffusion

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