Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings.

The intent of this manuscript is to present new rational symmetric ϖ − ξ -contractions and infer some fixed-points for such contractions in the setting of Θ -metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ -complete, and orbitally continuous mappings in Θ -metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation. [ABSTRACT FROM AUTHOR]