TEMPERLANGAN KAPUTO OPERATORI QATNASHGAN SUB-DIFFUZIYA TENGLAMASI UCHUN BOSHLANG‘ICH-CHEGARAVIY SHARTLI MASALA

Authors

  • Abdurasul Rafiqov
  • Alisher Azimjonov Pardaboy o‘g‘li

Keywords:

Bessel tengsizligi, Koshi-Bunyakovskiy tengsizligi, temperlangan Kaputo kasr tartibli hosila operatori.

Abstract

Ushbu maqolada temperlangan Kaputo operatori qatnashgan sub-diffuziya tenglamasi uchun boshlang‘ich-chegaraviy shartli masalaning yechimi yaqqol topilgan.

References

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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.

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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

2024-05-25