Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives

In this article, the fractional derivatives in the sense of the modified Riemann-Liouville derivative is employed for constructing some results related to Mittag-Leffler functions and established a number of important relationships between the Mittag-Leffler functions and Wright function.

Bibliographic Details
Main Authors: Kilicman, Adem, Saleh, Wedad
Format: Article
Published: Sociedade Brasileira de Matematica 2022
Online Access:http://psasir.upm.edu.my/id/eprint/102329/
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author Kilicman, Adem
Saleh, Wedad
author_facet Kilicman, Adem
Saleh, Wedad
author_sort Kilicman, Adem
building UPM Institutional Repository
collection Online Access
description In this article, the fractional derivatives in the sense of the modified Riemann-Liouville derivative is employed for constructing some results related to Mittag-Leffler functions and established a number of important relationships between the Mittag-Leffler functions and Wright function.
first_indexed 2025-11-15T13:38:16Z
format Article
id upm-102329
institution Universiti Putra Malaysia
institution_category Local University
last_indexed 2025-11-15T13:38:16Z
publishDate 2022
publisher Sociedade Brasileira de Matematica
recordtype eprints
repository_type Digital Repository
spelling upm-1023292023-06-19T08:12:25Z http://psasir.upm.edu.my/id/eprint/102329/ Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives Kilicman, Adem Saleh, Wedad In this article, the fractional derivatives in the sense of the modified Riemann-Liouville derivative is employed for constructing some results related to Mittag-Leffler functions and established a number of important relationships between the Mittag-Leffler functions and Wright function. Sociedade Brasileira de Matematica 2022-12-18 Article PeerReviewed Kilicman, Adem and Saleh, Wedad (2022) Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives. Boletim da Sociedade Paranaense de Matemática, 40. pp. 1-16. ISSN 0037-8712; ESSN: 2175-1188 https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/44103 10.5269/bspm.44103
spellingShingle Kilicman, Adem
Saleh, Wedad
Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
title Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
title_full Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
title_fullStr Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
title_full_unstemmed Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
title_short Note on the fractional Mittag-Leffler functions by applying the modified Riemann-Liouville derivatives
title_sort note on the fractional mittag-leffler functions by applying the modified riemann-liouville derivatives
url http://psasir.upm.edu.my/id/eprint/102329/
http://psasir.upm.edu.my/id/eprint/102329/
http://psasir.upm.edu.my/id/eprint/102329/