Stability and existence results for a system of fractional differential equations via Atangana-Baleanu derivative with ? p -Laplacian operator

This study focused on the existence and uniqueness(EU) stability of solution for a system fractional differential equations(FDEs) via Atangana-Baleanu derivative in sense Caputo (ABC) with \(\phi_{p}\)-Laplacian operator. Green function \( \mathcal{G}^{\eth}(t,s)\), \(m<\eth<m+1\), \(m\geq4\) used converting suggested problem to an integral equation. Guo-Krasnoselskii theorem proving EU problem. The was derived by Hyers-Ulam method(HUS). One illustrative example is manifesting results.