Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative
DOI:
https://doi.org/10.24193/subbmath.2017.0003Keywords:
Initial value problem, Hadamard’s fractional derivative, implicit fractional differential equations, fractional integral, existence, Gronwall’s lemma, fixed point, Ulam-Hyers stability, Ulam-Hyers-Rassias stability.Abstract
The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit Hadamard fractional-order differential equation.
Mathematics Subject Classification (2010): 26A33, 34A08.
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