Existence of solutions of impulsive boundary value problems for singular fractional differential systems

Title:

Existence of solutions of impulsive boundary value problems for singular fractional differential systems

Creator:

Liu, Yuji

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ff8f8223-cc9b-4a7c-9136-c42abb40e490
uuid:ff8f8223-cc9b-4a7c-9136-c42abb40e490
doi:10.21136/MB.2017.0029-14

Subject:

singular fractional differential system, impulsive boundary value problem, and fixed point theorem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A class of impulsive boundary value problems of fractional differential systems is studied. Banach spaces are constructed and nonlinear operators defined on these Banach spaces. Sufficient conditions are given for the existence of solutions of this class of impulsive boundary value problems for singular fractional differential systems in which odd homeomorphism operators (Definition 2.6) are involved. Main results are Theorem 4.1 and Corollary 4.2. The analysis relies on a well known fixed point theorem: Leray-Schauder Nonlinear Alternative (Lemma 2.1). An example is given to illustrate the efficiency of the main theorems, see Example 5.1.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

405-444

Source:

Mathematica bohemica | 2017 Volume:142 | Number:4

Harvested from:

CDK

Metadata only:

false