Published February 15, 2023
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Existence and uniqueness for a fractional differentialequation involving Atangana-Baleanu derivative byusing a new contraction
Authors/Creators
- 1. Department of Mathematics, Faculty of Science, University of Bonab, Bonab, Iran.
- 2. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
Description
In this study, by using some new contractions, we obtain an existence and uniqueness conclusion for afractional differential equation with Atangana-Baleanu derivative as follows:(ABC0Dκδ)(s) =h(s,δ(s)),s∈J,0≤κ≤1,(1)δ(0) =δ0,whereDςis the Atangana-Baleanu derivative of orderςandfis continuous withf(0,}(0)) = 0.
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