Conformable fractional derivative applied to fractional Bloch model

Abstract

This paper explores the fractional Bloch equation, a widely applied model across diverse scientific fields, including physics, chemistry, and magnetic resonance imaging (MRI). By employing the conformable fractional derivative, analytic solutions for nuclear magnetization are derived. An investigation of the effect of the fractional order on system dynamics for different parameter values is conducted. The results unveil novel characteristics of the Bloch equation within the conformable fractional framework. This contributes to offering valuable insights for both scientific exploration and technological innovation.