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Controllability of nonlinear implicit fractional integrodifferential systems

100%

Balachandran K., Divya S.

International Journal of Applied Mathematics and Computer Science

2014

tom 24

nr 4

713-722

In this paper, we study the controllability of nonlinear fractional integrodifferential systems with implicit fractional derivative. Sufficient conditions for controllability results are obtained through the notion of the measure of noncompactness of a set and Darbo's fixed point theorem. Examples are included to verify the result.

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Controllability for some partial functional integrodifferential equations with nonlocal conditions in Banach spaces

88%

Ezzinbi K., Degla G., Ndambomve P.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2015

tom 35

nr 1

25-46

This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllability of the system by supposing that its linear homogeneous part admits a resolvent operator in the sense of Grimmer, and by making use of the measure of noncompactness and the Mönch fixed-point theorem. As a result, we obtain a generalization of the work of Y.K. Chang, J.J. Nieto and W.S. Li (J. Optim. Theory Appl. 142, 267-273 (2009)), without assuming the compactness of the resolvent operator. An example of application is given for illustration.

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 International Journal of Applied Mathematics and Computer Science

1 Balachandran K.

1 Degla G.

1 Divya S.

1 Ezzinbi K.

1 Ndambomve P.

1 2015

1 2014

Wyniki wyszukiwania

Controllability of nonlinear implicit fractional integrodifferential systems

Controllability for some partial functional integrodifferential equations with nonlocal conditions in Banach spaces