Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the...

Full description

Bibliographic Details
Main Authors: M. Kamarujjama, N.U. Khan, Owais Khan
Format: Article
Language:English
Published: Emerald Publishing 2019-07-01
Series:Arab Journal of Mathematical Sciences
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516618301117
id doaj-4817bb4bec8448a1ab1c11027ad3470b
record_format Article
spelling doaj-4817bb4bec8448a1ab1c11027ad3470b2021-05-02T18:45:32ZengEmerald PublishingArab Journal of Mathematical Sciences1319-51662019-07-01252156168Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operatorsM. Kamarujjama0N.U. Khan1Owais Khan2Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaDepartment of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaCorresponding author.; Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaIn this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results. Keywords: Fractional calculus operators, Fox–Wright function, Fox H-function, Generalized p-k-Mittag-Leffler function, Mathematics Subject Classification: 26A33, 33C20, 33E12, 62E12http://www.sciencedirect.com/science/article/pii/S1319516618301117
collection DOAJ
language English
format Article
sources DOAJ
author M. Kamarujjama
N.U. Khan
Owais Khan
spellingShingle M. Kamarujjama
N.U. Khan
Owais Khan
Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
Arab Journal of Mathematical Sciences
author_facet M. Kamarujjama
N.U. Khan
Owais Khan
author_sort M. Kamarujjama
title Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
title_short Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
title_full Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
title_fullStr Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
title_full_unstemmed Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
title_sort fractional calculus of generalized p-k-mittag-leffler function using marichev–saigo–maeda operators
publisher Emerald Publishing
series Arab Journal of Mathematical Sciences
issn 1319-5166
publishDate 2019-07-01
description In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results. Keywords: Fractional calculus operators, Fox–Wright function, Fox H-function, Generalized p-k-Mittag-Leffler function, Mathematics Subject Classification: 26A33, 33C20, 33E12, 62E12
url http://www.sciencedirect.com/science/article/pii/S1319516618301117
work_keys_str_mv AT mkamarujjama fractionalcalculusofgeneralizedpkmittaglefflerfunctionusingmarichevsaigomaedaoperators
AT nukhan fractionalcalculusofgeneralizedpkmittaglefflerfunctionusingmarichevsaigomaedaoperators
AT owaiskhan fractionalcalculusofgeneralizedpkmittaglefflerfunctionusingmarichevsaigomaedaoperators
_version_ 1721488744234614784

Similar Items