MITTAG-LEFFLER TIPIDAGI FUNKSIYALARNING INTEGRAL KO‘RINISHLARI

Полная информация

Аннотации


  • Ўзбек

    Ushbu maqolada Mittag-Leffler tipidagi funksiyalarning integral ko‘rinishlari topilgan. Bunda Eylerning gamma-funksiyasi xossalari hamda Rayt funksiyasining ayrim xossalaridan foydalanilgan.

    Ключевые слова: #integral ko‘rinish #gamma-funksiya #Prabhakar funksiyasi #Rayt funksiyasi #Mittag-Leffler tipdagi funksiyasi

  • Русский

    В Этой статье найдены интегральные представления функций типа Миттаг-Леффлера. При этом использованы свойства гамма-функции и функции Райта.

    Ключевые слова: #integral ko‘rinish #gamma-funksiya #Prabhakar funksiyasi #Rayt funksiyasi #Mittag-Leffler tipdagi funksiyasi

  • English

    In this paper, integral representations of Mittag-Leffler type functions have been found using certain properties of gamma-function and Wright function.

    Ключевые слова: #integral ko‘rinish #gamma-funksiya #Prabhakar funksiyasi #Rayt funksiyasi #Mittag-Leffler tipdagi funksiyasi

Просмотреть документ онлайн


В ожидании

Список литературы


Название ссылки

1

1. Uchaikin V.V. Fractional derivatives for physicists and engineers. Vol. I,II. Springer, Heidelberg, 2013.

2

2. Kilbas A.A, Srivastava H.M, Trujillo J.J. Theory and applications of fractional differential equations. Elsevier, Amsterdam, 2006.

3

3. Podlubny I. Fractional differential equations. An introduction to fractional derivateves, fractional differential equations, to methods of their solution and some applications. Academic Press, San Diego, 1999.

4

4. Gorenflo R., Kilbas A. A., Mainardi F. Mittag-Leffler functions related topics and applications. Springer, Berlin, 2014.

5

5. Mainardi F., Pagnini G. The role of the Fox-Wright functions in fractional sub-diffusion of distributed order. Journal of Computational and Applied Mathematics, 2007,2, pp. 245-257.

6

6. Praphakar T.R. A singular integral equation with a generalized Mittag-Leffler function in the kernel. Yokohama math. J. 1971, 19, pp. 7-15.

7

7. Pskhu A.V. Partial Differential Equations of Fractional Order. Nauka, Moscow, 2005.

8

8. Karimov E, Al-Salti N, Kerbal S. An inverse source non-local problem for a mixed type equation with a Caputo fractional differential operator. East Asian journal of Applied Mathematics, 2017, 2, pp. 417-438.

9

9. Salakhitdinov M.S, Karimov E.T. Direct and inverse source problems for two-term time fractional diffusion equation with Hilfer derivative. Uzbek Mathematical Journal, 2017, 4. pp. 140-149.

10

10. Karimov E.T, Kerbal S. Tricomi type problem for mixed type equation with sub-diffusion and wave equation. FDU. Ilmiy Khabarlar, 2019, 3, pp. 10-14.

11

11. Allen I.K, Doggal D, Nasir S, Karimov E. On a boundary value problem for a time- fractional wave equation with the Riemann-Liouville and Atangana-Baleanu derivatives. Bulletin of the Institute of Mathematics, 2020, 1, pp. 1-9.

Количество просмотров: 354
Номер выпуска: 2022-6
Дата публикации: 15-12-2022
Дата создание в систему UzSCI: 21-01-2023