RT Journal Article T1 Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions A1 Bourguiba, Rim A1 Cabada Fernández, Alberto A1 Kalthoum, Wanassi Om K1 Fractional equations K1 Green’s functions K1 Nonlinear boundary value problems AB In this paper, we introduce a two-point nonlinear boundary value problem for a finite fractional difference equation. An associated Green’s function is constructed as a series of functions and some of its properties are obtained. Some existence results are deduced from fixed point theory and lower and upper solutions PB Springer SN 1578-7303 YR 2022 FD 2022 LK http://hdl.handle.net/10347/29967 UL http://hdl.handle.net/10347/29967 LA eng NO Bourguiba, R., Cabada, A. & Kalthoum, W.O. Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116, 175 (2022). https://doi.org/10.1007/s13398-022-01321-6 NO Alberto Cabada is partially supported by Xunta de Galicia (Spain), project EM2014/032 and AIE, Spain and FEDER, grant PID2020-113275GB-I00. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature DS Minerva RD 23 abr 2026