On Fractional Derivatives and Application

Authors

  • Mark S. Borres University of San Jose-Recoletos
  • Efren O. Barabat University of San Jose-Recoletos
  • Jocelyn T. Panduyos Surigao del Sur State University

DOI:

https://doi.org/10.32871/rmrj1301.02.06

Keywords:

local approximation, global approximation, fractional derivatives

Abstract

In many instances, the first derivative of the functional representation f(x) will fail to exist (Mandelbrot, 1987). When this happens, it is important to develop an appropriate language to describe these minute finer roughness and irregularities of the geometric objects. This paper attempts to develop the calculus of fractional derivatives for this purpose. Local approximations to functional values by fractional derivatives provide finer and better estimate than the global approximations represented by power series e.g Mclaurin’s series. Fractional derivatives incorporate information on the fluctuations and irregularities near the true functional values, hence, attaining greater precision.

Author Biographies

Mark S. Borres, University of San Jose-Recoletos

graduated Bachelor of Science in Mathematics–major in Pure Mathematics at the University of the Philippines, Cebu College. Since 2009, he worked for the University of San Jose- Recoletos as a faculty member of the College of Arts and Sciences and handled Mathematics subjects such as College Algebra, Advanced Algebra, Abstract Algebra, Analytical Geometry, Euclidean geometry, Trigonometry, Business Mathematics, Linear Programming, Mathematics of Investment, Discrete Structure, and Statistics across colleges.

Efren O. Barabat, University of San Jose-Recoletos

is an Electronics Engineer, graduated from the University of San Jose-Recoletos in 2010, Cum Laude honors. He ranked as top 9 examinee in the April 2011 ECE Licensure Examination. He worked as Field Engineer in SMART Communications, Inc. from 2011 to 2012. Currently, a full-time faculty member of the Electronics Engineering Department of USJ-R College of Engineering, handling Mathematics and Major Subjects of ECE.

References

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Solomentsev, E.D. (2001), “Power series”, in Hazewinkel, Michiel, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4

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Published

2013-12-31

How to Cite

Borres, M. S., Barabat, E. O., & Panduyos, J. T. (2013). On Fractional Derivatives and Application. Recoletos Multidisciplinary Research Journal, 1(2). https://doi.org/10.32871/rmrj1301.02.06

Issue

Vol. 1 No. 2 (2013)

Section

Articles

License

Copyright of the Journal belongs to the University of San Jose-Recoletos

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