Existence of solutions of generalized fractional differential equation with nonlocal initial condition

This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. Illustrative examples are also given.

Bibliographic Details
Main Authors: Sandeep P. Bhairat, Dnyanoba-Bhaurao Dhaigude
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2019-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/144/2/mb144_2_8.pdf