scientific article; zbMATH DE number 6824982

zbMath1378.33002MaRDI QIDQ4600662

Hafte Amsalu, D. L. Suthar

Publication date: 12 January 2018

Full work available at URL: http://www.pvamu.edu/mathematics/wp-content/uploads/sites/49/23_R1016_AAM_Suthar_DS_021417_V12_I2_Dec_2017.pdf

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zbMATH Keywords

gamma functionhypergeometric functionsBessel functiongeneralized Bessel-Maitland functionLavoie-Trottier integral formulageneralized Wright hypergeometric functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

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Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus ⋮ Estimation of generalized fractional integral operators with nonsingular function as a kernel ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some fractional operators with the generalized Bessel-Maitland function ⋮ The extended Bessel-Maitland function and integral operators associated with fractional calculus ⋮ Unnamed Item ⋮ Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function ⋮ Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Leffler function ⋮ Unnamed Item ⋮ Certain integrals involving multivariate Mittag-Leffler function

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