STABILITY OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS IN THE FRAME OF ATANGANA-BALEANU OPERATOR

Theory of fractional calculus with singular and non-singular kernels is pioneering has garnered significant interest recently. Fair amount literature on the qualitative properties differential integral equations involving different types operators available. This manuscript aims to analyze stability a class nonlinear equation in terms Atangana-Baleanu-Caputo operator. Sufficient conditions for existence uniqueness solutions are obtained by employing classical fixed point theorems Banach contraction principle. Also adequate Hyers-Ulam established. To substantiate our analytic results, an example provided numerical simulation.