This paper involves extended metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established in the setting of an extended metric space. Thereafter, by making consequent use of the fixed point technique, short and simple proofs are obtained for solutions of a fractional differential equation, a system of fractional differential equations and a two-dimensional linear Fredholm integral equation.

中文翻译：

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分数阶微分型方程不动点技术对多值压缩的解

本文涉及分数阶微分方程，分数阶微分方程组和二维（2D）线性Fredholm积分方程的扩展度量版本。通过各种给定的假设，在扩展度量空间的设置中建立了令人兴奋的结果。此后，通过使用定点技术，获得了分数阶微分方程，分数阶微分方程组和二维线性Fredholm积分方程解的简短证明。