Trajectory Controllability of Fractional Integro‐Differential Systems in Hilbert Spaces | Zendy

Govindaraj Venkatesan | Zendy; George Raju K. | Zendy

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Trajectory Controllability of Fractional Integro‐Differential Systems in Hilbert Spaces

Author(s) -

Govindaraj Venkatesan,

George Raju K.

Publication year - 2018

Publication title -

asian journal of control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.769

H-Index - 53

eISSN - 1934-6093

pISSN - 1561-8625

DOI - 10.1002/asjc.1685

Subject(s) - controllability , mathematics , hilbert space , fractional calculus , trajectory , monotone polygon , set (abstract data type) , mathematical analysis , pure mathematics , computer science , physics , geometry , astronomy , programming language

In this paper, sufficient conditions for trajectory controllability of nonlinear fractional integro‐differential systems involving Caputo fractional derivative of order α ∈(1,2] in finite and as well as in infinite dimensional Hilbert spaces are obtained. Our tools of study include set‐valued functions, theory of monotone operators and α ‐order cosine family of operators. The main results are well illustrated with the aid of examples.

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