BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 58, Issue 4, December 2010

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pp 593 - 599

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Generalization of the modulating functions method into the fractional differential equations

T. JANICZEK
The main aim of the paper is to generalize the modulating functions method to be useful in all models described by differential equations with fractional derivatives, if fractional differential operator is linear. The other aim is to prove that the task of parameter identification for differential equation with fractional differentials can be simplified or reduced to an integer order. The main role of modulating functions is to reduce the order of the derivative in the equation, to obtain equations without derivatives of the output signal and to eliminate the necessity of solving differential equations.
Key words:

fractional calculus;, fractional differential systems, identification methods


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