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Authors: MOUFFAK BENCHOHRA, SOUFYANE BOURIAH, JUAN J. NIETO.
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 applicabil- ity of our results.
Keywords: Hilfer’s fractional derivative, Caputo and Riemann-Liouville sense, existence, uniqueness, fixed point, Ulam stability.
