On a \(\psi \)-generalized fractional derivative operator of Riemann-Liouville with some applications
DOI10.1007/S40819-020-00892-5zbMath1465.26009OpenAlexW3086175663MaRDI QIDQ2026834
Ekta Mittal, Meenakshi Singhal
Publication date: 21 May 2021
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-020-00892-5
Mellin transformgenerating function\( \psi \)-beta function\( \psi \)-gamma function\( \psi \)-generalized Riemann-Liouville fractional derivative operator\( \psi \)-hypergeometric function
Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)
Cites Work
- Unnamed Item
- Unnamed Item
- Extension of gamma, beta and hypergeometric functions
- Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
- Extension of Euler's beta function
- Extended hypergeometric and confluent hypergeometric functions
- A new Riemann-Liouville type fractional derivative operator and its application in generating functions
- Generalized incomplete gamma functions with applications
- On the integral operators pertaining to a family of incomplete \(I\)-functions
- Extended Riemann-Liouville fractional derivative operator and its applications
- On an extension of extended beta and hypergeometric functions
- Extension of the fractional derivative operator of the Riemann-Liouville
- Certain fractional calculus and integral transform results of incomplete ℵ‐functions with applications
- A Study of Marichev-Saigo-Maeda Fractional Integral Opera- tors Associated with the S-Generalized Gauss Hypergeometric Function
- On a certain extension of the Riemann-Liouville fractional derivative operator
- A note on asymptotic behaviour of Mittag–Leffler functions
- A further extension of the extended Riemann–Liouville fractional derivative operator
This page was built for publication: On a \(\psi \)-generalized fractional derivative operator of Riemann-Liouville with some applications
