This manuscript demonstrates fixed point results in bi-complex valued control metric spaces, indicating their application in solving fractional differential equations.
This manuscript studies some unique and common fixed point results in the context of bi-complex valued control metric space(BVCMS) using rational-type inequalities. The presented work explains the idea of BVCMS and then shows the necessary criteria for a pair of contractive type mappings in this space to have common fixed points. To show how applicable our results are,we also give an example. Finally, the existence of solutions of a system of fractional differential equations has been studied using the obtained results.
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Sarwar et al. (2025) studied this question.
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