Solution of a nonlinear fractional-order initial value problem via a $\mathscr{C}^{*}$-algebra-valued $\mathcal{R}$-metric space

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2024年4月1日

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Gopinath Janardhanan,
Gunaseelan Mani,
Edwin Antony Raj Michael,
Sabri T. M. Thabet,
Imed Kedim

摘要

In this article, we prove new common fixed-point theorems on a $C^{*}$ $\mathscr{C}^{*}$ -algebra-valued $R$ $\mathcal{R}$ -metric space. An example is given based on our obtained results. To enhance our results, a strong application based on the fractional-order initial value problem is provided.

Solution of a nonlinear fractional-order initial value problem via a \(\mathscr{C}^{*}\)-algebra-valued \(\mathcal{R}\)-metric space

摘要