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- W4285181844 abstract "<abstract><p>This study aims to establish a new fixed point theorem in the framework of $ S^{JS} $-metric spaces, recently introduced by Beg et al. We propose different principles of contraction using various techniques. The theorems obtained represent a new framework for other future work in the considered space. Also, we provide two applications of our results to linear system of equations and the following fractional differential equation</p> <p><disp-formula> <label/> <tex-math id=FE1> begin{document}$ mathcal{(P)}:left{ begin{array}{ccl} D^{lambda}x(t) & = & f(t, x(t)) = Fx(t) mbox{ if } tin I_0 = (0, T] x(0) & = & x(T) = r end{array} right}. $end{document} </tex-math></disp-formula></p> <p>These applications show the effectiveness of our approach as a powerful tool for solving several types of differential equations.</p></abstract>" @default.
- W4285181844 created "2022-07-14" @default.
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- W4285181844 date "2022-01-01" @default.
- W4285181844 modified "2023-10-14" @default.
- W4285181844 title "Fixed point approach to solve fractional differential equations in $ S^{JS} $-metric spaces" @default.
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- W4285181844 doi "https://doi.org/10.3934/math.2022858" @default.
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