Ulam’s stability for some linear conformable fractional differential equations

Abstract

Abstract In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers–Rassias stability for several kinds of linear differential equations in the frame of conformable fractional derivative.

Keywords

• Conformable fractional Laplace transform
• Ulam–Hyers and Ulam–Hyers–Rassias stability
• Linear differential equations
• Conformable fractional derivative