Rational Approximations of Riemann--Liouville and Weyl Fractional Integrals
✍ Scribed by A. P. Starovoitov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2005
- Tongue
- English
- Weight
- 215 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0001-4346
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📜 SIMILAR VOLUMES
A generalized fractional Riesz potential of Jacobi polynomials is evaluated. From this formula, Riemann-Lioville fractional integrals and derivatives of weighted Jacobi polynomials are obtained as particular cases.
## Abstract We derive Euler–Lagrange‐type equations for fractional action‐like integrals of the calculus of variations which depend on the Riemann–Liouville derivatives of order (α, β), α>0, β>0, recently introduced by Cresson. Some interesting consequences are obtained and discussed. Copyright © 2
The theory of fractional calculus (FC) is a useful mathematical tool in many applied sciences. Nevertheless, only in the last decades researchers were motivated for the adoption of the FC concepts. There are several reasons for this state of affairs, namely the co-existence of different definitions