Abstract
Variation of constants (Agarwal, Difference equations and inequalities. Marcel Dekker, New York, 1992) is a very important technique in obtaining the asymptotic behavior of solutions of linear and nonlinear fractional difference equations under perturbations. In the present paper, we discuss the dependence of solutions of nabla fractional difference equations on the initial conditions and then obtain a fractional variation of constants formula for nabla fractional difference equations involving Caputo type fractional differences.
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Acknowledgments
The author is very grateful to the referees for their suggestions and comments which considerably helped to improve the content of this paper. The author also likes to acknowledge Dr.G.V.S.R.Deekshitulu who inspired the author to continue his research work.
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Jonnalagadda, J. Solutions of Perturbed Linear Nabla Fractional Difference Equations. Differ Equ Dyn Syst 22, 281–292 (2014). https://doi.org/10.1007/s12591-013-0179-1
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DOI: https://doi.org/10.1007/s12591-013-0179-1