Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications

Abstract By means of ς fractional sum operator, certain discrete nonlinear inequalities are replicated in this text. Considering the methodology calculus, we establish estimations Gronwall type for unknown functions. These a new form comparative with current writing discoveries up until point and can be viewed as supportive strategy to assess solutions partial differential equations numerically. We show couple employments compensated reflect benefits our work. The main outcomes might demonstrated by use examination procedure approach mean value hypothesis.