Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. We estimate their remaiders. Then we derive related discrete nabla fractional Opial, Ostrowski, Poincaré and Sobolev type inequalities.2000 Mathematics Subject Classification : Primary: 39A12, 34A25, 26A33, Secondary: 26D15, 26D20.
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