Pathway fractional integral formula involving an extended Mittag-Leffler function

被引：1
作者：
Khan, Adnan [2 ]
Akhtar, Hafiz Muhammad [2 ]
Nisar, K. S. [3 ]
Suthar, D. L. [1 ]
机构：
[1] Wollo Univ, Dept Math, POB 1145, Dessie, Ethiopia
[2] Natl Coll Business Adm & Econ, Lahore, Pakistan
[3] Prince Sattam Bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Al Kharj, Saudi Arabia
来源：
ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2022年 / 42卷 / 03期
关键词：
Laplace transformation; pathway fractional integral formula; extended Mittag-Leffler functions;
D O I：
10.1515/anly-2021-0039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：141 / 147
页数：7
相关论文
共 25 条
  • [1] CERTAIN FRACTIONAL INTEGRAL INEQUALITIES ASSOCIATED WITH PATHWAY FRACTIONAL INTEGRAL OPERATORS
    Agarwal, Praveen
    Choi, Junesang
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (01) : 181 - 193
  • [2] Pathway Fractional Integral Formulas InvolvingS-Function in the Kernel
    Amsalu, Hafte
    Shimelis, Biniyam
    Suthar, D. L.
    [J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 2020
  • [3] [Anonymous], 1998, Transformation Methods and Special Functions, Proceedings of the 2nd International Workshop, Varna, Bulgaria, 2330 August 1996
  • [4] Superstatistics
    Beck, C
    Cohen, EGD
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 322 (1-4) : 267 - 275
  • [5] Bhatter S., 2017, IOSR J MATH, V13, P27
  • [6] GENERALIZED INCOMPLETE GAMMA-FUNCTIONS WITH APPLICATIONS
    CHAUDHRY, MA
    ZUBAIR, SM
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1994, 55 (01) : 99 - 124
  • [7] THE COMPOSITION OF HURWITZ-LERCH ZETA FUNCTION WITH PATHWAY INTEGRAL OPERATOR
    Jangid, Nirmal Kumar
    Joshi, Sunil
    Purohit, Sunil Dutt
    Suthar, Daya Lal
    [J]. COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 36 (02): : 267 - 276
  • [8] Generalized Mittag-Leffler function and generalized fractional calculus operators
    Kilbas, AA
    Saigo, M
    Saxena, RK
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2004, 15 (01) : 31 - 49
  • [9] On generalized distributions and pathways
    Mathai, A. M.
    Haubold, H. J.
    [J]. PHYSICS LETTERS A, 2008, 372 (12) : 2109 - 2113
  • [10] Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy
    Mathai, A. M.
    Haubold, H. J.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 375 (01) : 110 - 122
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