Corpus ID: 14226219

Applications of Fractional Calculus

  title={Applications of Fractional Calculus},
  author={Mehdi Dalir and Majid Bashour},
Different definitions of fractional derivatives and fractional Integrals (Differintegrals) are considered. By means of them explicit formula and graphs of some special functions are derived. Also we reviw some applications of the theory of fractional calculus. 
On new applications of fractional calculus
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Some generalized fractional calculus operators and their applications in integral equations
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Riemann-Liouville Fractional Derivatives and the Taylor-Riemann Series
. In this paper we give some background theory on the con-cept of fractional calculus, in particular the Riemann-Liouville operators.We then investigate the Taylor-Riemann seriesusing Osler’stheoremExpand
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Fractional calculus (integral and differential operations of noninteger order) is not often used to model biological systems. Although the basic mathematical ideas were developed long ago by theExpand
Fractional calculus in bioengineering, part 2.
  • R. Magin
  • Medicine, Physics
  • Critical reviews in biomedical engineering
  • 2004
By expanding the range of mathematical operations to include fractional calculus, the authors can develop new and potentially useful functional relationships for modeling complex biological systems in a direct and rigorous manner. Expand
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  • 2007 9th International Symposium on Signal Processing and Its Applications
  • 2007
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Experimental results are compared with theoretical predictions for slow and fast waves transmitted through human cancellous bone samples. Expand