TEMPERLANGAN HILFER OPERATORI BUZILADIGAN ODDIY DIFFERENSIAL TENGLAMA UCHUN KOSHI MASALASI

Авторы

  • Azimjonov Alisher Pardaboy o‘g‘li

Ключевые слова:

Kasr taribli operatorlar, Kaputo kasr tartibli hosila operator, Riman-Liuvill kasr tartibli hosila operatori, integral tenglama.

Аннотация

Ushbu maqolada temperlangan Hilfer operatori buziladigan oddiy differensial tenglama uchun Koshi masalaning yechimi yaqqol ko‘rinishda topilgan.

Библиографические ссылки

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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Опубликован

2024-04-13