Existence and stability results for nonlocal initial value problems for differential equations with Hilfer fractional derivative
DOI:
https://doi.org/10.24193/subbmath.2018.4.03Keywords:
Hilfer’s fractional derivative, Caputo and Riemann-Liouville sense, existence, uniqueness, fixed point, Ulam stability.Abstract
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of nonlocal initial value problems for differential equations with Hilfer’s fractional derivative. The arguments are based upon the Banach contraction principle. Two examples are included to show the applicability of our results.
Mathematics Subject Classification (2010): 26A33.
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