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Some Fixed Point Theorems for $$F(\psi,\varphi)$$ -Contractions and Their Application to Fractional Differential Equations
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-09-03 , DOI: 10.1134/s1061920820030103 H. M. Srivastava , A. Shehata , S. I. Moustafa
中文翻译:
$$ F(\ psi,\ varphi)$$-压缩的一些不动点定理及其在分数阶微分方程中的应用
更新日期:2020-09-03
Russian Journal of Mathematical Physics ( IF 1.7 ) Pub Date : 2020-09-03 , DOI: 10.1134/s1061920820030103 H. M. Srivastava , A. Shehata , S. I. Moustafa
Abstract
The main object of this paper is to establish some fixed point results for \(F(\psi,\varphi)\)-contractions in partially-ordered metric spaces. As an application of one of these fixed point theorems, we discuss the existence of a unique solution for a coupled system of higher-order fractional differential equations with multi-point boundary conditions. The results presented in this paper are shown to extend many recent results appearing in the literature.中文翻译:
$$ F(\ psi,\ varphi)$$-压缩的一些不动点定理及其在分数阶微分方程中的应用