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A Note on Fractional Calculus and Some Applications

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Bridging Mathematics, Statistics, Engineering and Technology

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 24))

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Abstract

In this short note, we show by simple examples that differential equations of fractional orders generalize the ones of integer orders. We present a variation of constants formula which we obtained recently with C. Lizama and use it to prove the existence of solutions to some Cauchy problem with nonlocal conditions. This latter generalizes some of our recent results.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Morgan State University, Baltimore, MD, 21251, USA

    Gaston M. N’Guérékata

  2. Laboratoire CEREGMIA, Université des Antilles et de la Guyane, 97159, Point-à-Pitre, Guadeloupe (FWI)

    Gaston M. N’Guérékata

Authors
  1. Gaston M. N’Guérékata
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Corresponding author

Correspondence to Gaston M. N’Guérékata .

Editor information

Editors and Affiliations

  1. , Dept of Mathematics & Computer Sciences, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Bourama Toni

  2. , Department of Technology, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Keith Williamson

  3. , Department of Engineering, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Nasser Ghariban

  4. , Department of Mathematics & Computer Sci, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Dawit Haile

  5. , Department of Mathematics & Computer Sci, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Zhifu Xie

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N’Guérékata, G.M. (2012). A Note on Fractional Calculus and Some Applications. In: Toni, B., Williamson, K., Ghariban, N., Haile, D., Xie, Z. (eds) Bridging Mathematics, Statistics, Engineering and Technology. Springer Proceedings in Mathematics & Statistics, vol 24. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4559-3_2

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