An Arbitrary Order Differential Equations on Times Scale

Abstract

Here existence and stability results of $\psi$-Hilfer fractional differential equations on time scales is obtained. Here sufficient condition for existence and uniqueness of solution by using Schauder's fixed point theorem (FPT) and Banach FPT is produced. In addition, generalized Ulam stability of the proposed problem is also discussed. problem.

Keywords

• fractional calculus
• existence
• ulam-hyers-rassias stability