Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative

Published 17 Jul 2020 in math.AP and math.DS | (2007.09132v1)

Abstract: In the present paper, we determine the estimations on Atangana-Baleanu-Caputo fractional derivative at extreme points. With the assistance of the estimations obtained, we derive the comparison results. Peano's type existence results established for nonlinear fractional differential equations involving Atangana-Baleanu-Caputo fractional derivative. The acquired comparison results are then utilized to deal with the existence of local, extremal and global solution.

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