On applications of coupled fixed point theorem in hybrid differential equations of arbitrary order

Currently in most of the research areas the rate of fractional differential equations has been increased due to wide range of application of fractional calculus theory in the problems of real life. In various scientific and engineering disciplines such as physics, mechanics, chemistry these applications can be found. It can be also used in control theory, optimization theory, signal processing, economics etc. [1-5]. Beside this, due to its existence in daily life situations, most of the authors are motivated towards the existence and uniqueness of solutions of fractional differential equations [6,7,9,10,].