On fractional Cauchy-type problems containing Hilfer's derivative

By Rafal Kamocki, Cezary Obczynski. 2016

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In the paper we study fractional systems with generalized Riemann–Liouville derivatives. A theorem on the existence and uniqueness of a solution to a fractional nonlinear ordinary Cauchy problem is proved. Next a formula for the solution to a linear problem of such a type is presented.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/9e8387591058f91633c63dd718986c1d3bf5b76d