On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation

A. V. Pskhu

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 149 (2018), pp. 84-94

Résumé

Problems on the asymptotic behavior of solutions to the Cauchy problems for a fractional diffusion-wave equation for large values of time are examined. Sufficient conditions of stabilization in the class of rapidly growing functions and necessary and sufficient conditions of stabilization to zero in the case of asymptotically nonnegative initial functions are found.

Détail

Mots-clés : fractional diffusion-wave equation
Keywords: stabilization, Cauchy problem, fractional derivative, Dzhrbashyan–Nersesyan operator.

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