RT Journal Article
T1 Existence Results for Nonlinear Fractional Problems with Non-Homogeneous Integral Boundary Conditions
A1 Cabada Fernández, Alberto
A1 Wanassi, Om Kalthoum
K1 Fractional Equations
K1 Green Functions
K1 Integral Boundary Conditions
K1 Fixed-Point Index
K1 Existence And Non-Existence
AB This paper deals with the study of the existence and non-existence of solutions of a three-parameter family of nonlinear fractional differential equation with mixed-integral boundary value conditions. We consider the α -Riemann-Liouville fractional derivative, with α∈(1,2] . To deduce the existence and non-existence results, we first study the linear equation, by deducing the main properties of the related Green functions. We obtain the optimal set of parameters where the Green function has constant sign. After that, by means of the index theory, the nonlinear boundary value problem is studied. Some examples, at the end of the paper, are showed to illustrate the applicability of the obtained results
PB MDPI
YR 2020
FD 2020
LK http://hdl.handle.net/10347/21883
UL http://hdl.handle.net/10347/21883
LA eng
NO Cabada, A.; Wanassi, O.K. Existence Results for Nonlinear Fractional Problems with Non-Homogeneous Integral Boundary Conditions. Mathematics 2020, 8, 255.
NO First author was partially supported by the Agencia Estatal de Investigación (AEI) of Spain under grantMTM2016-75140-P, co-financed by the European Community fund FEDER.
DS Minerva
RD 4 may 2026