Resumen de Bounded Non-oscillatory Solutions of Nabla Forced Fractional Difference Equations with Positive and Negative Terms

J. Alzabut, Said R. Grace, Jagan Mohan Jonnalagadda, Ethiraju Thandapani

• This paper studies the boundedness of non-oscillatory solutions of nabla fractional difference equations with positive and negative terms. Unlike the methods existing in the literature, our approach is primarily based on the new defined properties of discrete fractional calculus and some mathematical inequalities. Examples are provided to support the validity of the obtained results.