Mathematical modeling of regional manifestations of solar activity and their relationship with extreme geophisical processes

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Mathematical modeling of regional manifestations of solar activity and their relationship with extreme geophisical processes

Buraev A.V.

Scientific Research Institute of Applied Mathematics and Automation KBSC RAS, Russia

   The paper presents the analysis based on the data of natural emergencies,
   occurred in Kabardin-Balkar republic during 1998-2012 and the mathematical
   model for solar activity dynamics forecast, based on differential equation
   of fractional order. Some mathematic models of slope development under the
   water erosion effect are suggested applying the device of fractional
   differentiation which can be used even for simulation of slide processes.