Analysis of temporal-fractional Bloch equation using three-point Adams-Bashforth method

Abstract

This work examines the temporal-fractional Bloch equation utilizing a non-singular kernel operator. A novel Caputo-Fabrizio Adams-Bashforth method (CFABM) combines the Caputo-Fabrizio operator with three-point Adams-Bashforth techniques to analyze the fractional Bloch equation. The application of the fixed-point method establishes the existence and uniqueness of solution to the problem proposed in this paper. The exact solutions and outcomes of the present technique are compared with  existing methods through tabular and graphical simulations. The results describe the efficacy and accuracy of the proposed CFABM.