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Approximation of Fixed Point and Its Application To Fractional Differential Equation

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Date

2021

Journal Title

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Publisher

Springer Heidelberg

Open Access Color

Green Open Access

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Abstract

In this study, we prove some convergence results for generalized alpha-Reich-Suzuki non-expansive mappings via a fast iterative scheme. We validate our result by constructing a numerical example. Also, we compare our results with the other well known iterative schemes. Finally, we calculate the approximate solution of nonlinear fractional differential equation.

Description

Keywords

Generalized Alpha-Reich-Suzuki Non-Expansive Mappings, Nonlinear Fractional Differential Equation, Fixed Point, Generalized α-Reich–Suzuki Non-Expansive Mappings, Fixed-point theorems, generalized \(\alpha\)-Reich-Suzuki non-expansive mappings, fixed point, Fixed-point and coincidence theorems (topological aspects), nonlinear fractional differential equation

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Khatoon, Sabiya; Uddin, Izhar; Baleanu, Dumitru (2021). "Approximation of fixed point and its application to fractional differential equation", Journal of Applied Mathematics and Computing, Vol. 66, No. 1-2, pp. 507-525.

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OpenCitations Citation Count
24

Source

Journal of Applied Mathematics and Computing

Volume

66

Issue

1-2

Start Page

507

End Page

525
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Citations

CrossRef : 16

Scopus : 37

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Mendeley Readers : 2

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