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WARDOWSKI TYPE CONTRACTIONS WITH APPLICATIONS ON CAPUTO TYPE NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Journal article   Peer reviewed

WARDOWSKI TYPE CONTRACTIONS WITH APPLICATIONS ON CAPUTO TYPE NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

Wasfi Shatanawi, Erdal Karapinar, Hassen Aydi and Andreea Fulga
Scientific bulletin. Buletin științific. Series A, Applied mathematics and physycs [i.e. physics] / UPB. Series A, Applied mathematics and physyics [i.e. physics, Vol.82(2), pp.157-170
01/01/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Physics Physics, Multidisciplinary Science & Technology
In this paper, we consider mappings with contractive iterates at a point. We introduce F-S-contractions in the sense of Wardowski and Seghal and F-J-contractions in the sense of Wardowski and Jachymski. We ensure some existence and uniqueness fixed point results. We also give some applications on Ulam stability and Caputo type nonlinear fractional integrodifferential equations.

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