Benchohra, MouffakBouriah, SoufyaneNieto Roig, Juan José2020-03-312020-03-312019Benchohra, M., Bouriah, S., & Nieto, J. J. (2019). Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative, Demonstratio Mathematica, 52(1), 437-450. doi: https://doi.org/10.1515/dema-2019-00320420-1213http://hdl.handle.net/10347/21019In this paper, we establish the existence and uniqueness of solutions for a class of initial value problem for nonlinear implicit fractional differential equations with Riemann-Liouville fractional derivative, also, the stability of this class of problem. The arguments are based upon the Banach contraction principle and Schaefer’s fixed point theorem. An example is included to show the applicability of our resultseng© 2019 Mouffak Benchohra et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 Licensehttps://creativecommons.org/licenses/by/4.0/Riemann-Liouville fractional derivativeInitial value problemExistenceUniquenessUlam stabilityFixed point theoremjournal article10.1515/dema-2019-00322391-4661open access