Cite item


In the paper the investigation continues with the help of definition Fourier fractional differentiation setting in the previous paper "To the question of fractional differentiation". There were given explicit expressions of a fairly wide class of periodic functions and for functions represented in the form of wavelet decompositions. It was shown that for the class of exponential functions all derivatives with non-integer exponent are equal to zero. The found derivatives have a direct relationship to practical problems and let them use to solve a large class of problems associated with the study of phenomena such as thermal conduction, transmissions, electrical and magnetic susceptibility for a wide range of materials with fractal dimensions.

About the authors

S. O. Gladkov

Moscow Aviation Institute (National Research University)

Author for correspondence.
ORCID iD: 0000-0002-2755-9133

Doctor of Physical and Mathematical Sciences, professor, professor of the Department of Applied Software and Mathematical Methods

S. B. Bogdanova

Moscow Aviation Institute (National Research University)


Candidate of Physical and Mathematical Sciences, assistant professor, assistant professor of the Department of Applied Software and Mathematical Methods


  1. Gladkov S.O., Bogdanova S.B. K voprosu o drobnom differentsirovanii . Vestnik Samarskogo universiteta. Estestvennonauchnaya seriya , 2018, Vol. 24, no. 3, pp. 7-13. doi: 10.18287/2541-7525-2018-24-3-7-13
  2. .
  3. Gladkov S.O. K teorii odnomernoi i kvazi-odnomernoi teploprovodnosti . ZhTF , 1997, Vol. 67, no 7, pp. 8-12. Available at: .
  4. Gladkov S.O. K teorii gidrodinamicheskikh yavlenii v kvaziodnomernykh sistemakh . ZhTF , 2001, Vol. 71, no 11, pp. 130-132. Available at: .
  5. Charles K. Chui. Vvedenie v veivlety . M.: Mir, 2001, 412 p. Available at: .
  6. Dobeshi I. Desyat’ lektsii po veivletam . Izhevsk: RKhD, 2001, 464 p. Available at: .
  7. Mallat S. Veivlety v obrabotke signalov . M.: Mir, 2005, 672 p. Available at: .
  8. Astaf’eva N.M. Veivlet-analiz: osnovy teorii i primery primeneniya . UFN (1996), 39 (11): 1085. doi: 10.3367/UFNr.0166.199611a.1145 .
  9. Vorob’yev V.I., Gribunin V.G. Teoriya praktika veivlet-preobrazovaniya . SPb.: VUS, 1999, 206 p. Available at:,_2k1r1j1b1u1o1j1o_2j.2k._3a1f1p1r1j2g_1j_1q1r1a1l1t1j1l1a_ 1c1f1k1c1m1f1t-1q1r1f1p1b1r1a1i1p1c1a1o1j2g._1999.pdf .
  10. Petukhov A.P. Vvedenie v teoriyu bazisov vspleskov . SPb.: SPbGTU, 1999, 132 p. Available at: .
  11. Koshlyakov N.S., Gliner E.B., Smirnov M.M. Uravneniya v chastnykh proizvodnykh matematicheskoi fiziki . M.: Vysshaya shkola, 1970, 710 p. .

Copyright (c) 2020 С. О. Гладков, С. Б. Богданова

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies