Fixed point results and its applications to the systems of non-linear integral and differential equations of arbitrary order

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Author list: Shoaib M., Sarwar M., Shah K., Kumam P.

Publication year: 2016

Journal: Journal of Nonlinear Science and Applications (2008-1898)

Volume number: 9

Issue number: 6

Start page: 4949

End page: 4962

Number of pages: 14

ISSN: 2008-1898

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84990041358&partnerID=40&md5=d1e699018e43a48a9407751a94c0981e

Languages: English-Great Britain (EN-GB)

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Abstract

In this manuscript, common fixed point results for self-mappings satisfying generalized weak integral type contraction in the setting of G-metric space are established. Using the derived results, some applications to the systems of non-linear integral and fractional differential equations are also discussed. ฉ 2016 All rights reserved.

Keywords

Alternating distance function, Fractional differential equations, Integral equations, Integral type contraction