where denotes the Caputo fractional derivative of order , generates a positive -semigroup of uniformly bounded linear operator in , is a constant, is a given functions. For this, we use the concept of measure of noncompactness in partially ordered Banach spaces whose positive cone is normal, and establish some basic fixed point results under the said concepts. In addition, we relaxed the conditions of boundedness, closedness and convexity of the set at the expense that the operator is monotone and bounded. We also supply some new coupled fixed point results via MNC. To justify the result, we prove an illustrative example that rational of the abstract results for fractional parabolic equations.