233 89

Existence results for fractional hybrid differential systems in Banach algebras

Title
Existence results for fractional hybrid differential systems in Banach algebras
Author
박춘길
Keywords
hybrid initial value problem;; Banach algebras; coupled fixed point theorem; Riemann-Liouville fractional derivative
Issue Date
2016-02
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Citation
ADVANCES IN DIFFERENCE EQUATIONS, Page. 1-13
Abstract
In this manuscript we investigate the existence of solutions for the following system of fractional hybrid differential equations (FHDEs): {D-p [theta(t) w(t,theta(t))/u(t,theta(t))] = v(t, v(t)), t is an element of J, D-p [v(t)-w(t, v, (t))/u(t, v(t))] = v(t, theta(t)), t is an element of J, 0 ˂ p ˂ 1, theta(0) = 0, v(0) = 0, where Dr denotes the Riemann-Liouville fractional derivative of order r, J = [0, 1], and the functions u : J x R -˃ R \ {0}, w : J x R -˃ R, (0, 0) = 0 nd v : J x R -˃ R satisfy certain conditions. Here, we extend the Dhage hybrid fixed point theorem (Dhage in Kyungpook Math. J. 44: 145-155, 2004) and then present some results on the existence of coupled fixed points for a category of operators in Banach algebra. Also, an example is analyzed to show the use of the reported results.
URI
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-016-0784-8http://hdl.handle.net/20.500.11754/31850
ISSN
1687-1847
DOI
10.1186/s13662-016-0784-8
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
Files in This Item:
Existence results for fractional hybrid differential systems in Banach algebras.pdfDownload
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE