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Solving a fractional differential equation via theta-contractions in r- complete metric spaces
Journal article   Open access  Peer reviewed

Solving a fractional differential equation via theta-contractions in r- complete metric spaces

Khalil Javed, Muhammad Arshad, Amani S. Baazeem and Nabil Mlaiki
AIMS mathematics, Vol.7(9), pp.16869-16888
01/07/2022
DOI: https://doi.org/10.3934/math.2022926

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this manuscript, we introduce the notion of R alpha theta-contractions and prove some fixed-point theorems in the sense of 91-complete metric spaces. These results generalize existing ones in the literature. Also, we provide some illustrative non-trivial examples and applications to a non-linear fractional differential equation.
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https://doi.org/10.3934/math.2022926View
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