RT Journal Article
T1 Existence and Ulam stability for nonlinear implicit differential equations with Riemann-Liouville fractional derivative
A1 Benchohra, Mouffak
A1 Bouriah, Soufyane
A1 Nieto Roig, Juan José
K1 Riemann-Liouville fractional derivative
K1 Initial value problem
K1 Existence
K1 Uniqueness
K1 Ulam stability
K1 Fixed point theorem
AB In this paper, we establish the existence and uniqueness of solutions for a class of initial valueproblem 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 principleand Schaefer’s fixed point theorem. An example is included to show the applicability of our results
PB De Gruyter
SN 0420-1213
YR 2019
FD 2019
LK http://hdl.handle.net/10347/21019
UL http://hdl.handle.net/10347/21019
LA eng
NO Benchohra, 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-2019-0032
NO The research of J.J. Nieto has been partially supported by the AEI of Spain under Grant MTM2016-75140-P and co-financed by European Community fund FEDER
DS Minerva
RD 26 abr 2026