α-ADMISSIBLE MAPPING IN RECTANGULAR METRICSPACE INVOLVING THE EXISTENCE SOLUTION OFTHE CAPUTO FRACTIONAL DIFFERENTIALEQUATION WITH NON-LOCAL INTEGRALCONDITIONS

Abstract

In this article, we investigate and demonstrate the existence of a solution to a non-linear fractional differential equation with a non-local integral condition by finding new conditions of a fixed point in rectangular metric space for certain α-admissible condition mapping.