Certain \(k\)-fractional calculus operators and image formulas of generalized \(k\)-Bessel function

DOI10.5831/hmj.2021.43.2.167MaRDI QIDQ6540975

D. L. Suthar, Hagos Tadesse, Praveen Agarwal, Haile Habenom

Publication date: 17 May 2024

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(k\)-Wright function\(k\)-hypergeometric function\(k\)-Bessel function\(k\)-fractional calculus operators

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• On the \(k\)-gamma \(q\)-distribution
• Differential equation and inequalities of the generalized \(\mathtt{k}\)-Bessel functions
• Generalized fractional integral operators involving Mittag-Leffler function
• Generalized fractional integral formulas for the \(k\)-Bessel function
• Certain \(k\)-fractional calculus operators and image formulas of \(k\)-Struve function
• Composition formulae for the \(k\)-fractional calculus operators associated with \(k\)-Wright function
• Integral representations of the \(k\)-Bessel's function
• q,k-Generalized Gamma and Beta Functions
• Differential Equation Analysis in Biomedical Science and Engineering
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