基于w-距离的非线性分数阶微分方程的度量不动点结果
Relation-theoretic metrical fixed point results via w-distance with an application in nonlinear fractional differential equations
摘要：
本文利用w-距离的概念，在具有任意二元关系的度量空间中证明了著名的Banach不动点定理.我们的发现必然揭示了关系理论的另一个方向--计量不动点理论。此外，我们的论文包括几个非平凡的例子，这意味着这种调查的动机。最后，我们得到的结果使我们能够探索的存在性和唯一性的非线性分数阶微分方程的Caputo分数阶导数。
英文摘要：
In this article, utilizing the concept of w-distance, we prove the celebrated Banach's fixed point theorem in metric spaces equipped with an arbitrary binary relation. Necessarily our findings unveil another direction of relation-theoretic metrical fixed point theory. Also, our paper consists of several non-trivial examples which signify the motivation for such investigations. Finally, our obtained results enable us to explore the existence and uniqueness of solutions of nonlinear fractional differential equations involving the Caputo fractional derivative.
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