Discrete & Continuous Dynamical Systems - S
The quasilinearization method is applied to a boundary value problem at resonance for a Riemann-Liouville fractional differential equation. Under suitable hypotheses, the method of upper and lower solutions is employed to establish uniqueness of solutions. A shift method, coupled with the method of upper and lower solutions, is applied to establish existence of solutions. The quasilinearization algorithm is then applied to obtain sequences of lower and upper solutions that converge monotonically and quadratically to the unique solution of the boundary value problem at resonance.
Print: 1937-1632; Electronic: 1937-1179
American Institute of Mathematical Sciences
Eloe, Paul W. and Jonnalagadda, Jaganmohan, "Quasilinearization Applied to Boundary Value Problems at Resonance for Riemann-Liouville Fractional Differential Equations" (2020). Mathematics Faculty Publications. 212.
Embargoed until Friday, October 01, 2021