Hilfer-type fractional differential equations with variable coefficients

Joel E. Restrepo and Durvudkhan Suragan

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In this paper, we give a representation of the solution of Hilfer-type fractional differential equations with continuous variable coefficients. The solution is represented by convergent infinite series involving composition of Riemann–Liouville fractional integral operators. The obtained representation of the solution can be used effectively for computational and analytic purposes. For the case of constant coefficients, the solution is given by the Riemann-Liouville fractional integral of the multivariate Mittag-Leffler function.

Keywords: Hilfer fractional derivative; Linear fractional differential equation; Mittag-Leffler function; Variable coefficient (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005002

DOI: 10.1016/j.chaos.2021.111146

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