Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function

DOI10.1186/s13662-020-02610-3zbMath1482.26010OpenAlexW3031775166MaRDI QIDQ2058207

D. L. Suthar, Ritu Agarwal, Kottakkaran Sooppy Nisar, Sunil Dutt Purohit

Publication date: 7 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02610-3

zbMATH Keywords

extended Mittag-Leffler functionextended Wright-type hypergeometric functionsSrivastava polynomialWright-type hypergeometric functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Other functions defined by series and integrals (33E20) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (8)

Complete and orthonormal sets of exponential-type orbitals with non-integer quantum numbers ⋮ EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION APPLIED ON FRACTIONAL INTEGRAL INEQUALITIES ⋮ Unnamed Item ⋮ On multi-index Mittag-Leffler function of several variables and fractional differential equations ⋮ Some fractional calculus findings associated with the incomplete \(I\)-functions ⋮ On a fractional Caputo-Hadamard problem with boundary value conditions via different orders of the Hadamard fractional operators ⋮ On the existence of solutions for fractional boundary value problems on the ethane graph ⋮ On a hybrid inclusion problem via hybrid boundary value conditions

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