利用Mizogochi-Takahashi映射推广Darbo不动点定理在包含$(k, s)$-Riemann-Liouville和Erd'{e}lyi-Kober分数积分的混合分数积分方程上的应用

Q4 Mathematics

International Journal of Nonlinear Analysis and Applications Pub Date : 2022-01-01 DOI:10.22075/IJNAA.2021.23002.2451

Anupam Das, Vahid Parvaneh, Bhuban Chandra Deuri, Z. Bagheri

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引用次数: 3

摘要

我们利用Mizogochi-Takahashi映射，利用Darbo定理的一个新推广版本，建立了$(k,s)$-Riemann-Liouville和Erd'{e}lyi-Kober分数阶积分方程的可解性，并通过适当的例子证明了结果的有效性。

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Application of a generalization of Darbo's fixed point theorem via Mizogochi-Takahashi mappings on mixed fractional integral equations involving $(k, s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals

We have established the solvability of fractional integral equations with both $(k,s)$-Riemann-Liouville and Erd'{e}lyi-Kober fractional integrals using a new generalized version of the Darbo's theorem using Mizogochi-Takahashi mappings and justify the validity of our results with the help of suitable examples.

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来源期刊

International Journal of Nonlinear Analysis and Applications MATHEMATICS-

自引率

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发文量

160