RT Journal Article
T1 Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems
A1 Cabada Fernández, Alberto
A1 Aleksic, Suzana
A1 Tomovic, Tatjana V.
A1 Dimitrijevic, Sladjana
K1 Fractional differential equation
K1 non-local boundary value problem
K1 positive solution
K1 Caputo’s fractional derivative
K1 Green’s function
AB In this paper, we establish new results for non-local boundary value problems. In particular, we study a fractional differential equation where the associated integral equation has a kernel that is not bounded above and changes its sign, so that, the positive sign of the possible solutions is generally not ensured. We provide some examples which support the theory and illustrate the applicability of the obtained results.
PB Springer Nature Link
SN 1660-5446
YR 2019
FD 2019-08-17
LK https://hdl.handle.net/10347/45153
UL https://hdl.handle.net/10347/45153
LA eng
NO Cabada, A., Aleksić, S., Tomović, T.V. et al. Existence of Solutions of Nonlinear and Non-local Fractional Boundary Value Problems. Mediterr. J. Math. 16, 119 (2019). https://doi.org/10.1007/s00009-019-1388-9
NO First author partially is supported by Xunta de Galicia (Spain), project EM2014/032 and AIE Spain and FEDER, Grant MTM2016-75140-P. Second, third and fourth authors are supported by Serbian Ministry of Science and Technology (Grants 174024 and 174015).
DS Minerva
RD 29 abr 2026