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In the year 1999 Molodtsov [1] propounded the theory of soft sets as a contemporary mathematical subject for regarding with ambiguities. Recent works in theory of soft set and its applications in different scope such as economics, engineering, social and medical science have been developing quickly since Maji et al. [2] and many mathematicians [3-6]. Otherwise fixed point theory is an significant topic of mathematics which has a good deal of applications in different areas such as differential equations, thermal science, heat equations, etc. Bildik et al. [7] used the fixed point property for the approximatively solution of several sort of differential equations. Gulyaz and Inci [8] investigated the existence of integral equations via fixed point theorems and gave an application deal with the following heat equation of non-linear type in dimension one:

Some Kannan type fixed point results in rectangular soft metric space and an application of fixed point for thermal science problem