Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative
- 30 November 2009
- journal article
- Published by Elsevier BV in Applied Mathematics Letters
- Vol. 22 (11), 1659-1664
- https://doi.org/10.1016/j.aml.2009.05.011
Abstract
No abstract availableKeywords
This publication has 16 references indexed in Scilit:
- Table of some basic fractional calculus formulae derived from a modified Riemann–Liouville derivative for non-differentiable functionsApplied Mathematics Letters, 2008
- Lagrangian mechanics of fractional order, Hamilton–Jacobi fractional PDE and Taylor’s series of nondifferentiable functionsChaos, Solitons, and Fractals, 2007
- Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solutionJournal of Applied Mathematics and Computing, 2007
- The space-time fractional diffusion equation with Caputo derivativesJournal of Applied Mathematics and Computing, 2005
- New results on Fokker–Planck equations of fractional orderChaos, Solitons, and Fractals, 2001
- Local Fractional Fokker-Planck EquationPhysical Review Letters, 1998
- Hölder exponents of irregular signals and local fractional derivativesPramana, 1997
- On a Concept of Derivative of Complex Order with Applications to Special FunctionsIMA Journal of Applied Mathematics, 1984
- Taylor’s Series Generalized for Fractional Derivatives and ApplicationsSIAM Journal on Mathematical Analysis, 1971
- ON FRACTIONAL INTEGRALS AND DERIVATIVESThe Quarterly Journal of Mathematics, 1940