Fractional integral and derivative formulas by using Marichev-Saigo-Maeda operators involving the S-function

DOI10.1155/2019/6487687zbMath1474.26030OpenAlexW2948746996MaRDI QIDQ2319378

D. L. Suthar, Hafte Amsalu

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/6487687

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items

Euler-type integral operator involving \(\mathcal{S} \)-function, Certain fractional integral operators pertaining to S-function, Estimates of classes of generalized special functions and their application in the fractional \((k, s)\)-calculus theory, Composition formulae for the \(k\)-fractional calculus operator with the \(S\)-function, A study on generalized multivariable Mittag-Leffler function via generalized fractional calculus operators, Pathway fractional integral formulas involving \(\mathcal{S} \)-function in the kernel

Cites Work

• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Generalized fractional integral operators involving Mittag-Leffler function
• Generalized fractional calculus formulas for a product of Mittag-Leffler function and multivariable polynomials
• Integral operators involving hypergeometric functions
• The H-Function
• Generalized fractional integration of Bessel function of the first kind
• Some unified integrals associated with generalized struve function
• Marichev-Saigo-Maeda fractional calculus operators, Srivastava polynomials and generalized Mittag-Leffler function
• Some Integral Equations Involving Hypergeometric Functions
• Operators of fractional integration and their applications
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