On the integral transform of Mittag-Leffler-type functions with applications

被引：0
作者：
Choudhary, Anupama [2 ]
Kumar, Devendra [3 ]
Singh, Jagdev [1 ]
机构：
[1] JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, India
[2] Arya Inst Engn & Technol, Dept Math, Jaipur 302028, India
[3] Univ Rajasthan, Dept Math, Jaipur 302004, India
来源：
ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2021年 / 41卷 / 03期
关键词：
Generalized Mittag-Leffler function; Sumudu conversion; Laplace transform; generalized Wright function; SUMUDU TRANSFORM;
D O I：
10.1515/anly-2018-0074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study certain results connected with a generalized Mittag-Leffler function. A generalized Mittag-Leffler function operator of Laplace and Sumudu conversions are investigated and some applications of the recognized results are also deduced as corollaries in this article. The outcomes of the present study are valuable in solving fractional order mathematical models in science, mathematics, finance and technology where the Mittag-Leffler function arises in a natural manner.
引用
收藏
页码：155 / 162
页数：8
相关论文
共 50 条
  • [31] Singular integral equation involving a multivariable analog of Mittag-Leffler function
    Sebastien Gaboury
    Mehmet Ali Özarslan
    Advances in Difference Equations, 2014
  • [32] A real distinct poles rational approximation of generalized Mittag-Leffler functions and their inverses: Applications to fractional calculus
    Iyiola, O. S.
    Asante-Asamani, E. O.
    Wade, B. A.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 330 : 307 - 317
  • [33] INTEGRAL REPRESENTATION OF THE FOUR-PARAMETRIC GENERALIZED MITTAG-LEFFLER FUNCTION
    Rogosin, S.
    Koroleva, A.
    LITHUANIAN MATHEMATICAL JOURNAL, 2010, 50 (03) : 337 - 343
  • [34] A Generalized Mittag-Leffler Type Function with Four Parameters
    Garg, Mridula
    Sharma, Ajay
    Manohar, Pratibha
    THAI JOURNAL OF MATHEMATICS, 2016, 14 (03): : 637 - 649
  • [35] TURAN TYPE INEQUALITIES FOR GENERALIZED MITTAG-LEFFLER FUNCTION
    Yin, Li
    Huang, Li-Guo
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (03): : 667 - 672
  • [36] Turan type inequalities for generalized Mittag-Leffler function
    Dou, Xiang Kai
    Yin, Li
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [37] ANOMALOUS DIFFUSION MODELS WITH GENERAL FRACTIONAL DERIVATIVES WITHIN THE KERNELS OF THE EXTENDED MITTAG-LEFFLER TYPE FUNCTIONS
    Yang, Xiao-Jun
    Tenreiro Machado, J. A.
    Baleanu, Dumitru
    ROMANIAN REPORTS IN PHYSICS, 2017, 69 (04)
  • [38] Mittag-Leffler functions, lp n-balls and geometric pairings
    Guardiola Muzquiz, Gorka
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (03) : 195 - 211
  • [39] MITTAG-LEFFLER BASED BESSEL AND TRICOMI FUNCTIONS VIA UMBRAL APPROACH
    Nahid, Tabinda
    Rani, Hari Ponnama
    REPORTS ON MATHEMATICAL PHYSICS, 2023, 92 (01) : 1 - 17
  • [40] Dirichlet Averages of Generalized Multi-index Mittag-Leffler Functions
    Saxena, R. K.
    Any, T. K. Pog
    Ram, J.
    Daiya, J.
    ARMENIAN JOURNAL OF MATHEMATICS, 2011, 3 (04): : 174 - 187
12345