RT Journal Article
T1 Extremal solutions of nonlinear functional discontinuous fractional equations
A1 Cabada Fernández, Alberto
A1 Wanassi, Om Kalthoum
K1 Lower and Upper Solutions
K1 Green's Functions
K1 Discontinuous Equations
K1 Functional Equations
K1 Comparison Principles
AB This paper is devoted to prove the existence of extremal solutions of Fractional equation with Riemann-Liouville derivative. The existence follows from the method of lower and upper solutions. Some jumps in the derivative of these functions are allowed. It is important to point out that a discontinuous and functional dependence on the nonlinear part of the equation with respect to the solution is allowed. The construction of the Green’s function related to the linear part of the equation coupled to spectral theory is fundamental to deduce the results.
PB Springer
SN 2238-3603
YR 2021
FD 2021-02-02
LK https://hdl.handle.net/10347/37813
UL https://hdl.handle.net/10347/37813
LA eng
NO Cabada, A., Wanassi, O.K. Extremal solutions of nonlinear functional discontinuous fractional equations. Comp. Appl. Math. 40, 36 (2021). https://doi.org/10.1007/s40314-020-01397-z
NO This version of the article has been accepted for publication, after peer review, and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40314-020-01397-z
DS Minerva
RD 23 abr 2026