On the k-Riemann-Liouville Fractional Derivative

By L. G. Romero, L. L. Luque, G. A. Dorrego, R. A. Cerutti. 2013

68 citations recorded by the source corpus.

The aim of this paper is to introduce an alternative denition for the k-Riemann-Liouville fractional derivative given in [6] and whose advantage is that it is the left inverse of the corresponding of k-RiemannLiouville fractional integral operator introduced by [5]. Its basic properties are discussed, their Laplace transform, the derivative of the potential function and the derivative of the Mittag-Leer

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/92857c6b9fe58be9924b2dbb2e10cdca117f68fa

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In Applied Mathematics

1. Zoubir Dahmani
2. M. Sarıkaya
3. Mohamed Jleli
4. Pshtiwan Othman Mohammed

In Modeling and Simulation

1. Zoubir Dahmani
2. M. Sarıkaya

Citations in the corpus

• (k, s)-Riemann-Liouville fractional integral and applications (2016, background): “There are several known forms of the fractional integrals of which two have been studied extensively for their applications [5, 10, 11, 14, 21].”