Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

Year 2020, Volume: 3 Issue: 3, 121 - 128, 29.09.2020

Ahmad Y. A. Salamoonı D.d. Pawar

https://doi.org/10.32323/ujma.756304

Cited By: 2

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

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