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arXiv · 2007.09132

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

Kishor D. Kucche·Sagar T. Sutar
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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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Kishor D. Kucche, Sagar T. Sutar. 2020-07-17. Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative. https://doi.org/10.1016/j.chaos.2020.110556

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