Relaxation in complex systems and fractional calculus

V. E. Arkhincheev; A. B. Bainova

doi:10.1117/12.693711

3 January 2007 Relaxation in complex systems and fractional calculus

V. E. Arkhincheev, A. B. Bainova

Proceedings Volume 6417, Complexity and Nonlinear Dynamics; 641707 (2007) https://doi.org/10.1117/12.693711
Event: SPIE Smart Materials, Nano- and Micro-Smart Systems, 2006, Adelaide, Australia

Abstract

The relaxation in complex systems is studied. It is shown that charge relaxation in complex systems has non-exponential non-Maxwell character. The physical mechanisms of non-Maxwell relaxation are established. The new generalized relaxation equations of fractional order are deduced for non-exponential relaxation.

Citation Download Citation

V. E. Arkhincheev and A. B. Bainova "Relaxation in complex systems and fractional calculus", Proc. SPIE 6417, Complexity and Nonlinear Dynamics, 641707 (3 January 2007); https://doi.org/10.1117/12.693711

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