KAPUTO MA’NOSIDAGI TEMPERLANGAN KASR TATRIBLI TENGLAMA UCHUN KOSHI MASALASI

Authors

  • Nargiza Murolimova Anvarjon qizi Farg‘ona davlat universiteti
  • Alisher Azimjonov Pardaboy o‘g‘li Farg‘ona davlat universiteti

Keywords:

Kasr taribli operatorlar, Kaputo ma’nosidagi temperlangan kasr tartibli operator, Riman-Liuvill temperlangan integral operatori, integral tenglama.

Abstract

Ushbu maqolada Kaputo ma’nosidagi temperlangan kasr tartibli integro-differensial operator qatnashgan differensial tenglama uchun boshlang‘ich shartli masalaning yechimi yaqqol ko‘rinishda topilgan.

References

Uchaikin V.~V.~ Fractional derivatives for physicists and engineers. Volume I. Background and theory. Nonlinear Physical Science. Higher Education Press, Beijing; Springer, Heidelberg, 2013.

Uchaikin V.~V.~ Fractional derivatives for physicists and engineers. Volume II. Applications. Nonlinear Physical Science. Higher Education Press, Beijing; Springer, Heidelberg, 2013.

Kilbas A.~A., Srivastava H.~M. and Trujillo J.~J.~ Theory and applications of fractional differential equations. North-Holland Mathematics Studies, 204. Elsevier Science B.V., Amsterdam, 2006.

Podlubny I.~ Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Mathematics in Science and Engineering, 198. Academic Press, Inc., San Diego, CA, 1999.

Xiao-Jun Yang, Feng Gao, Yang Ju. General Fractional Derivatives with Applications in Viscoelasticity. Academic Press, 2020.

M.L. Morgado, M. Rebelo, Well-posedness and numerical approximation of tempered fractional terminal value problems. Fract. Calc. Appl. Anal. 20, 1239–1262 (2017)

Liguo Yuan, Song Zheng, and Zhouchao Wei. Comparison theorems of tempered fractional differential equations. Eur. Phys. J. Spec. Top. (2022) 231, pp.2477–2485.

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Published

2022-10-23

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