The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
- 1 February 2010
- journal article
- Published by Elsevier BV in Computers & Mathematics with Applications
- Vol. 59 (3), 1128-1141
- https://doi.org/10.1016/j.camwa.2009.05.014
Abstract
No abstract availableKeywords
This publication has 10 references indexed in Scilit:
- The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculusComputers & Mathematics with Applications, 2010
- Generalized mittag-leffler function and generalized fractional calculus operatorsIntegral Transforms and Special Functions, 2004
- A Multi-Index Borel-Dzrbashjan TransformRocky Mountain Journal of Mathematics, 2002
- Solutions of fractional multi-order integral and differential equations using a Poisson-type transformJournal of Mathematical Analysis and Applications, 2002
- Multiple (multiindex) Mittag–Leffler functions and relations to generalized fractional calculusJournal of Computational and Applied Mathematics, 2000
- The obrechkoff integral transform: properties and relation to a generalized fractional calculusNumerical Functional Analysis and Optimization, 2000
- On the generalized mittag-leffler type functionsIntegral Transforms and Special Functions, 1998
- All the special functions are fractional differintegrals of elementary functionsJournal of Physics A: General Physics, 1997
- Transmutation Method for Solving Erdélyi–Kober Fractional Differintegral EquationsJournal of Mathematical Analysis and Applications, 1997
- Fractional Derivatives and Special FunctionsSIAM Review, 1976