existence and uniqueness results for integro fractional differential equations with atangana-baleanu fractional derivative

In this article, we proposed integro fractional differential equations(fdes) in the form of atangana-baleanu-caputo (abc) fractional derivative approach. the studied problem is considered with nonlocal integral initial condition. the existence of solution is investigated for proposed equations by using krasnoselskii’s fixed point theorem. the uniqueness of the result is derived with the help of the banach contraction mapping principle. in the end, an example is presented to smooth the understanding of the derived results.