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Solutions of Perturbed Linear Nabla Fractional Difference Equations

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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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  1. Department of Mathematics, Birla Institute of Technology and Science Pilani, Hyderabad Campus, Hyderabad, 500078, Andhra Pradesh, India

    Jaganmohan Jonnalagadda

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  1. Jaganmohan Jonnalagadda
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Correspondence to Jaganmohan Jonnalagadda.

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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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