Sign in
Back
EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION OF AN ABSTRACT SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH STATE DEPENDENT NONLOCAL CONDITION
Journal article   Open access  Peer reviewed

EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION OF AN ABSTRACT SEMILINEAR FRACTIONAL DIFFERENTIAL EQUATION WITH STATE DEPENDENT NONLOCAL CONDITION

Mohamed A. E. Herzallah, Ashraf H. A. Radwan and Faculty of Science, Zagazig University, Egypt
KRAGUJEVAC JOURNAL OF MATHEMATICS, Vol.45(6), pp.909-923
01/01/2021
DOI: https://doi.org/10.46793/KgJMat2106.909H

Abstract

Mathematics Physical Sciences Science & Technology
The purpose of this paper is to investigate the existence and uniqueness of mild solutions to a semilinear Cauchy problem for an abstract fractional differential equation with state dependent nonlocal condition. Continuous dependence of solutions on initial conditions and local epsilon-approximate mild solution of the considered problem will be discussed.
url
https://doi.org/10.46793/KgJMat2106.909HView
Published (Version of record) Open

Metrics

1 Record Views

Details