Analysis of nonlinear fractional differential equations involving Atangana-Baleanu-Caputo derivative

Kishor D. Kucche and Sagar T. Sutar

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

Abstract: In the present paper, we determine estimations on Atangana-Baleanu-Caputo fractional derivative at the extreme points. With the assistance of these estimations, we derive comparison results. Peano’s type existence results are 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.

Keywords: Fractional differential equations; Atangana-Baleanu-Caputo fractional derivative; Fractional differential inequalities; Comparison results; Local and global existence (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309474

DOI: 10.1016/j.chaos.2020.110556

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