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Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator
Journal article   Peer reviewed

Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator

Ziyad A. Alhussain, Habib Rebei, Hafedh Rguigui and Anis Riahi
São Paulo Journal of Mathematical Sciences, Vol.15(1), pp.435-449
01/06/2021
DOI: https://doi.org/10.1007/s40863-020-00200-5

Abstract

Mathematics Physical Sciences Science & Technology
By means of the Laplace transform, we give the solution of the generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations in infinite dimensions associated to the number operator. These solutions are given in terms of the Mittag-Leffler function and the convolution product.

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