Browsing by Author "Gevgeşoğlu M., Bolat Y."

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    Stability criteria for volterra type linear nabla fractional difference equations
    (2022-12-01) Gevgeşoğlu M., Bolat Y.; Gevgesoglu, M, Bolat, Y
    In this study, we give some necessary and sufficient conditions on the stability for Volterra type linear nabla fractional difference equations of the form ∇-1vx(t)=λx(t),t∈ N1, with initial condition ∇-1v-1x(t)|t=0=x0.For this, first of all we show that the above equation is a convolution-type Volterra equation, then give the stability conditions by using the stability analysis methods of the convolution type Volterra equations. Also we give some examples to illustrate our theoretic results.