Hilfer-type fractional differential equations with variable coefficients
Restrepo J.E. Suragan D.
September 2021Elsevier Ltd
Chaos, Solitons and Fractals
2021#150
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.
Hilfer fractional derivative , Linear fractional differential equation , Mittag-Leffler function , Variable coefficient
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Department of Mathematics, Nazarbayev University, Kazakhstan
Institute of Mathematics, University of Antioquia, Colombia
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics
Institute of Mathematics
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
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