EXISTENCE AND STABILITY ANALYSIS BY FIXED POINT THEOREMS FOR A CLASS OF NON-LINEAR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

TitleEXISTENCE AND STABILITY ANALYSIS BY FIXED POINT THEOREMS FOR A CLASS OF NON-LINEAR CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2018
AuthorsSEEMAB ARJUMAND, REHMAN MUJEEBUR
JournalDynamic Systems and Applications
Volume27
Issue3
Start Page445
Pagination12
Date Published2018
ISSN1056-2176
AMS Subject Classification26A33
Abstract

The main purpose of this work is to establish existence result and stability criteria for a class of fractional order differential equations using fixed point theorems. Existence results are based on Schauder’s fixed point theorem, Banach contraction principle and, emphasis is put on the application of the Krasnoselskii’s fixed point theorem to establish stability criteria of a specific class of fractional order differential equations. An example is given to show the usefulness of the stability result.

PDFhttps://acadsol.eu/dsa/articles/27/3/1.pdf
DOI10.12732/dsa.v27i3.1
Refereed DesignationRefereed
Full Text

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