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

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  • Kucche, Kishor D.
  • Sutar, Sagar T.

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.

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  • Kucche, Kishor D. & Sutar, Sagar T., 2021. "Analysis of nonlinear fractional differential equations involving Atangana-Baleanu-Caputo derivative," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309474
    DOI: 10.1016/j.chaos.2020.110556
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    References listed on IDEAS

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