STABILITY OF NONLINEAR NABLA FRACTIONAL DIFFERENCE  EQUATIONS USING FIXED POINT THEOREMS

J. Jagan Mohan; N. Shobanadevi; G.V.S.R. Deekshitulu

STABILITY OF NONLINEAR NABLA FRACTIONAL DIFFERENCE EQUATIONS USING FIXED POINT THEOREMS

Authors

J. Jagan Mohan Birla Institute of Technology and Science Pilani - Department of Mathematics
N. Shobanadevi Vellore Institute of Technology University - School of Advanced Sciences
G.V.S.R. Deekshitulu Jawaharlal Nehru Technological University Kakinada (JNTUK) - Department of Mathematics

Keywords:

fractional order, diﬀerence equation, zero solution, fixed point, stability

Abstract

Difference equations are often used to analyze sampled data systems, in which stability problems are considered to be important. This is evident from a large number of research papers dedicated to it. However, stability results for nonlinear nabla fractional difference equations are not yet reported. The present article discusses stability of nonlinear nabla fractional difference equations of Riemann–Liouville and Caputo type, using fixed point theory.

Cover of n°32 Italian Journal of Pure and Applied Mathematics

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Published

2014-08-22

How to Cite

Jagan Mohan, J., Shobanadevi, N., & Deekshitulu, G. (2014). STABILITY OF NONLINEAR NABLA FRACTIONAL DIFFERENCE EQUATIONS USING FIXED POINT THEOREMS . Italian Journal of Pure and Applied Mathematics, 32, 165–184. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6224

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Issue

N°32 - August 2014

Section

Articoli - Forum Editrice

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)