EXISTENCE RESULTS FOR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL BOUNDARY CONDITIONS INVOLVING ATANGANA–BALEANU DERIVATIVE.

In this paper, the existence results for the solutions of the multi-term ABC-fractional differential boundary value problem (BVP) (δ 2 0 ABC D α + 2 + δ 1 0 ABC D α + 1 + δ 0 0 ABC D α) x (t) = ζ (t , x (t)) of order 0 < α < 1 with nonlocal boundary conditions have been derived by using Krasnoselskii's fixed point theorem. The uniqueness of the solution is obtained with the help of Banach contraction principle. Examples are provided to confirm our obtained results. [ABSTRACT FROM AUTHOR]