Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations

Existence uniqueness and stability of mild solutions for semilinear ψ-Caputo fractional evolution equations

Abstract In this paper, we study the local and global existence, and uniqueness of mild solution to initial value problems for fractional semilinear evolution equations with compact and noncompact semigroup in Banach spaces. In particular, we derive the form of fundamental solution in terms of semig...

Full description

Bibliographic Details
Main Authors: Apassara Suechoei, Parinya Sa Ngiamsunthorn
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Advances in Difference Equations
Subjects:
Fractional evolution equation
Existence and uniqueness theorems
Mild solution
Measure of noncompactness
Mittag-Leffler–Ulam–Hyers stability
Online Access:http://link.springer.com/article/10.1186/s13662-020-02570-8

Internet

http://link.springer.com/article/10.1186/s13662-020-02570-8

Similar Items