Pathway fractional integral formula involving an extended Mittag-Leffler function

Adnan Khan; Hafiz Muhammad Akhtar; K. S. Nisar; D. L. Suthar

doi:10.1515/anly-2021-0039

Pathway fractional integral formula involving an extended Mittag-Leffler function

Adnan Khan
, Hafiz Muhammad Akhtar
, K. S. Nisar
, D. L. Suthar

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This work discovers the Laplace transform using a generalized pathway fractional integral formula involving an extended Mittag-Leffler function in the kernel for various parameters. Our findings are fairly broad in scope. Some well-known and novel results can also be obtained here.

Original language	English
Pages (from-to)	141-147
Number of pages	7
Journal	Analysis
Volume	42
Issue number	3
DOIs	https://doi.org/10.1515/anly-2021-0039
State	Published - 1 Aug 2022

Keywords

extended Mittag-Leffler functions
Laplace transformation
pathway fractional integral formula

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10.1515/anly-2021-0039

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title = "Pathway fractional integral formula involving an extended Mittag-Leffler function",

abstract = "This work discovers the Laplace transform using a generalized pathway fractional integral formula involving an extended Mittag-Leffler function in the kernel for various parameters. Our findings are fairly broad in scope. Some well-known and novel results can also be obtained here.",

keywords = "extended Mittag-Leffler functions, Laplace transformation, pathway fractional integral formula",

author = "Adnan Khan and Akhtar, \{Hafiz Muhammad\} and Nisar, \{K. S.\} and Suthar, \{D. L.\}",

note = "Publisher Copyright: {\textcopyright} 2022 Walter de Gruyter GmbH, Berlin/Boston.",

year = "2022",

month = aug,

day = "1",

doi = "10.1515/anly-2021-0039",

language = "English",

volume = "42",

pages = "141--147",

journal = "Analysis",

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T1 - Pathway fractional integral formula involving an extended Mittag-Leffler function

AU - Khan, Adnan

AU - Akhtar, Hafiz Muhammad

AU - Nisar, K. S.

AU - Suthar, D. L.

PY - 2022/8/1

Y1 - 2022/8/1

N2 - This work discovers the Laplace transform using a generalized pathway fractional integral formula involving an extended Mittag-Leffler function in the kernel for various parameters. Our findings are fairly broad in scope. Some well-known and novel results can also be obtained here.

AB - This work discovers the Laplace transform using a generalized pathway fractional integral formula involving an extended Mittag-Leffler function in the kernel for various parameters. Our findings are fairly broad in scope. Some well-known and novel results can also be obtained here.

KW - extended Mittag-Leffler functions

KW - Laplace transformation

KW - pathway fractional integral formula

UR - https://www.scopus.com/pages/publications/85135153769

U2 - 10.1515/anly-2021-0039

DO - 10.1515/anly-2021-0039

M3 - Article

AN - SCOPUS:85135153769

SN - 0174-4747

VL - 42

SP - 141

EP - 147

JO - Analysis

JF - Analysis

IS - 3

ER -

Pathway fractional integral formula involving an extended Mittag-Leffler function

Abstract

Keywords

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