Abstract
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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The authors extend their appreciation to the Deanship of Scientific Research at Majmaah University for funding this work under project number (RGP-2019-1).
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Alhussain, Z.A., Rebei, H., Rguigui, H. et al. Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator. São Paulo J. Math. Sci. 15, 435–449 (2021). https://doi.org/10.1007/s40863-020-00200-5
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DOI: https://doi.org/10.1007/s40863-020-00200-5