Certain k-fractional calculus operators and image formulas of k-Struve function

被引：7
|
作者：
Suthar, D. L. [1 ]
Baleanu, D. [2 ,3 ]
Purohit, S. D. [4 ]
Ucar, F. [5 ]
机构：
[1] Wollo Univ, Dept Math, POB 1145, Dessie, Ethiopia
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
[4] Rajasthan Tech Univ, Dept HEAS Math, Kota 324010, India
[5] Marmara Univ, Dept Math, TR-34722 Istanbul, Turkey
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 03期
关键词：
extended Bessel-Maitland function; extended beta function; integral transform; Riemann-Liouville fractional calculus operators; GAMMA-FUNCTION;
D O I：
10.3934/math.2020115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the Saigo's k-fractional order integral and derivative operators involving k-hypergeometric function in the kernel are applied to the k-Struve function; outcome are expressed in the term of k-Wright function, which are used to present image formulas of integral transforms including beta transform. Also special cases related to fractional calculus operators and Struve functions are considered.
引用
收藏
页码：1706 / 1719
页数：14
相关论文
共 50 条
  • [31] Several New Integral Inequalities via Caputo k-Fractional Derivative Operators
    Butt, Saad Ihsan
    Ozdemir, M. Emin
    Umar, Muhammad
    Celik, Baris
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (09)
  • [32] Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
    Erhan Set
    Junesang Choi
    Abdurrahman Gözpinar
    Journal of Inequalities and Applications, 2017
  • [33] Some inequalities involving Hadamard-type k-fractional integral operators
    Agarwal, Praveen
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (11) : 3882 - 3891
  • [34] On applications of Caputo k-fractional derivatives
    Farid, Ghulam
    Latif, Naveed
    Anwar, Matloob
    Imran, Ali
    Ozair, Muhammad
    Nawaz, Madeeha
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
  • [35] The (k, s)-fractional calculus of k-Mittag-Leffler function
    Nisar, K. S.
    Rahman, G.
    Baleanu, D.
    Mubeen, S.
    Arshad, M.
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [36] Certain fractional formulas of the extended k-hypergeometric functions
    Abdalla, Mohamed
    Boulaaras, Salah
    Akel, Mohamed
    Idris, Sahar Ahmed
    Jain, Shilpi
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [37] Certain fractional formulas of the extended k-hypergeometric functions
    Mohamed Abdalla
    Salah Boulaaras
    Mohamed Akel
    Sahar Ahmed Idris
    Shilpi Jain
    Advances in Difference Equations, 2021
  • [38] Hermite-Hadamard type inequalities in the setting of k-fractional calculus theory with applications
    Bin-Mohsen, Bandar
    Awan, Muhammad Uzair
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    AIMS MATHEMATICS, 2020, 5 (01): : 629 - 639
  • [39] On applications of Caputo k-fractional derivatives
    Ghulam Farid
    Naveed Latif
    Matloob Anwar
    Ali Imran
    Muhammad Ozair
    Madeeha Nawaz
    Advances in Difference Equations, 2019
  • [40] Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals
    Agarwal, Praveen
    Jleli, Mohamed
    Tomar, Muharrem
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
12345