Abstract
In this manuscript, we consider a nonlinear system governed by fractional differential equations in a Banach space. Used the semigroup theory of linear operators and Gronwal’s inequality to show the trajectory controllability of the system. Also, we extend our results to nonlocal and integro-differential equations. Finally, we give an example to illustrate the applications of these results.
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Acknowledgments
We like to thanks the reviewers for their valuable comments. Also, first author would like to thank the IIT Mandi for the financial support through the Seed Grant Project No: IITMandi/SG/2015/05-01.
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Muslim, M., George, R.K. Trajectory Controllability of the Nonlinear Systems Governed by Fractional Differential Equations. Differ Equ Dyn Syst 27, 529–537 (2019). https://doi.org/10.1007/s12591-016-0292-z
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DOI: https://doi.org/10.1007/s12591-016-0292-z
Keywords
- Fractional order differential equation
- Trajectory controllability
- Gronwall’s inequality
- \(C_0\)-semigroup