Bendouma, BouharketCabada Fernández, AlbertoHammoudi, Ahmed2026-01-272026-01-272019-12-03Bendouma, Bouharket, Alberto Cabada and Ahmed Hammoudi. “Existence of solutions for conformable fractional problems with nonlinear functional boundary conditions.” Malaya Journal of Matematik, Vol. 7, No. 4, 700-708, 20192319−3786https://hdl.handle.net/10347/45446In this article, we study the existence of solutions for nonlinear conformable fractional differential equations with nonlinear functional boundary conditions. We obtain the exact expression of the fractional Green’s function related to the linear problem. Moreover, the method of upper and lower solutions together with Schauder’s fixed point theorem is developed for the nonlinear conformable fractional problems with nonlinear functional boundary conditions.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/Conformable fractional derivativeNonlinear boundary conditionsGreen’s functionUpper and lower solutions methodExistence theoremsMaximum principles1202 Análisis y análisis funcionalExistence of solutions for conformable fractional problems with nonlinear functional boundary conditionsjournal article10.26637/mjm0704/0013open access