Trajectory controllability of integro-differential system of fractional orders in Hilbert spaces

Abstract

The trajectory controllability for fractional order semilinear integrodifferential systems of order ν ∈ (0, 1] and ν ∈ (1, 2] is the subject of this paper. Monotonicity is an important characteristic in many communications applications in which digital-to-analog converter circuits are used. Such applications can function in the presence of nonlinearity, but not in the presence of nonmonotonicity. Therefore, it becomes quite interesting to study a problem assuming the monotonicity of the nonlinear function. With the help of fractional calculus, adequate conditions have been developed to verify the trajectory controllability for fractional order semilinear integrodifferential system using the basics of monotone nonlinearity and coercivity. Finally, some examples are presented to demonstrate the viability of the acquired results.

Keywords

Trajectory controllability / Fractional order system / Integrodifferential system

Funding

None.

Conflict of interest

Anurag Shukla is an Editorial Board Member of this journal, but was not in any way involved in the editorial and peer-review process conducted for this paper, directly or indirectly. Separately, other authors declared that they have no known competing financial interests or personal relationships that could have influenced the work reported in this paper.

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