- Universal Journal of Mathematics and Applications
- Vol: 3 Issue: 3
- Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
Authors : Ahmad Y. A. Salamooni, D. D. Pawar
Pages : 121-128
Doi:10.32323/ujma.756304
View : 9 | Download : 5
Publication Date : 2020-09-29
Article Type : Research
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