Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Abstract

In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation. Also, we prove an equivalence between the Cauchy-type problem and Volterra integral equation(VIE).

Keywords

• generalized fractional cauchy-type problem
• existence and uniqueness
• hilfer-hadamard-type fractional derivative