EXISTENCE OF SOLUTION OF MULTI-TERM FRACTIONAL ORDER FREDHOLM INTEGRO-DIFFERENTIAL EQUATION

This paper considered a multi-term fractional order Fredholm integro-differential equation. The multi-term fractional order Fredholm integro-differential equation was transformed into its corresponding integral equation form with the help of Riemann-Liouville fractional integral by which, Schauder’s fixed point theorem is utilised in the study and establishing the existence of solution for the multi-term fractional order Fredholm integro-differential equation. Moreover, some examples were considered to prove the claim of the established existence of solution theorem.