
<abstract><p>This manuscript was originally built to establish some coupled common fixed point results for rational contractive mapping in the framework of $ b $-metric spaces. Thereafter, the existence and uniqueness of the boundary value problem for a singular coupled fractional differential equation of order $ \nu $ via coupled fixed point techniques are discussed. At the last, some supportive examples to illustrate the theoretical results are presented.</p></abstract>
Topological representations of algebraic systems, Nonlinear boundary value problems for ordinary differential equations, Economics, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Differential equation, QA1-939, FOS: Mathematics, coupled fractional differential equations, Green's functions, Fixed-point theorem, Boundary value problem, Order (exchange), Fixed-point and coincidence theorems (topological aspects), Fixed Point Theorems, b-metric spaces, coupled fixed point techniques, Fixed point, Applied mathematics, rational contractive mappings, green's functions, Physical Sciences, Geometry and Topology, Uniqueness, \(b\)-metric spaces, Mathematics, Finance
Topological representations of algebraic systems, Nonlinear boundary value problems for ordinary differential equations, Economics, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Differential equation, QA1-939, FOS: Mathematics, coupled fractional differential equations, Green's functions, Fixed-point theorem, Boundary value problem, Order (exchange), Fixed-point and coincidence theorems (topological aspects), Fixed Point Theorems, b-metric spaces, coupled fixed point techniques, Fixed point, Applied mathematics, rational contractive mappings, green's functions, Physical Sciences, Geometry and Topology, Uniqueness, \(b\)-metric spaces, Mathematics, Finance
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