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In this paper we establish some new results on trapezium type inequalities of coordinated distance-disturbed ( ℓ 1 , h 1 ) $(\ell _{1},h_{1})$ – ( ℓ 2 , h 2 ) $(\ell _{2},h_{2})$ -convex functions of higher orders ( σ 1 , σ 2 ) $(\sigma _{1},\sigma _{2})$ by using the Katugampola ( k 1 , k 2 ) $(k_{1},k_{2})$ -fractional integrals. As special cases of our general results, we recapture some earlier proved results.

New trapezium type inequalities of coordinated distance-disturbed convex type functions of higher orders via extended Katugampola fractional integrals