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Journal of Applied Nonlinear Dynamics 5(4) (2016) 485--494 | DOI:10.5890/JAND.2016.12.008

R. Joice Nirmala; K. Balachandran

Department of Mathematics, Bharathiar University, Coimbatore-641046, India

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Abstract

This paper investigates the solution of fractional dynamical systems with the inverse operator method and Mittag-Leffler function. Controllability of linear fractional dynamical systems is studied by obtaining the Grammian operator. Sufficient conditions for both nonlinear and integrodifferential systems are established by the contraction principle. Some examples are provided to illustrate the theory.

Acknowledgments

The first author is thankful to the University Grants Commission (UGC), New Delhi, for providing MANF (Maulana Azad National Fellowship) to carry out the research work.

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