Author Information

Zachary DentonFollow

Institution

North Carolina A&T State University

Abstract

We construct a generalized quasilinearization method to approximate the unique solution of the nonlinear Riemann-Liouville (RL) fractional system of equations of order q, where 0. Monotone sequences of linear RL systems are constructed from lower and upper solutions, where the t1-q weighted sequences converge uniformly and quadratically to the weighted unique solution of the system.

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Quasilinearization Method for RL Fractional Systems

We construct a generalized quasilinearization method to approximate the unique solution of the nonlinear Riemann-Liouville (RL) fractional system of equations of order q, where 0. Monotone sequences of linear RL systems are constructed from lower and upper solutions, where the t1-q weighted sequences converge uniformly and quadratically to the weighted unique solution of the system.