Journal
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA
Volume 63, Issue 4, Pages 447-464Publisher
UNIV BABES-BOLYAI
DOI: 10.24193/subbmath.2018.4.03
Keywords
Hilfer's fractional derivative; Caputo and Riemann-Liouville sense; existence; uniqueness; fixed point; Ulam stability
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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.
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