Controllability of impulsive quasi-linear fractional mixed Volterra-Fredholm-type integrodifferential equations in Banach spaces.

Kavitha, V.; Arjunan, M.Mallika

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Filippov's theorem for impulsive differential inclusions with fractional order.

Ouahab, Abdelghani (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Multiple positive solutions for $(n - 1, 1)$ -type semipositone conjugate boundary value problems of nonlinear fractional differential equations.

Yuan, Chengjun (2010)

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Semilinear fractional order integro-differential equations with infinite delay in Banach spaces

Khalida Aissani, Mouffak Benchohra (2013)

Archivum Mathematicum

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This paper concerns the existence of mild solutions for fractional order integro-differential equations with infinite delay. Our analysis is based on the technique of Kuratowski’s measure of noncompactness and Mönch’s fixed point theorem. An example to illustrate the applications of main results is given.

Existence Results for Fractional Functional Differential Inclusions with Infinite Delay and Applications to Control Theory

Benchohra, M., Henderson, J., Ntouyas, S. K., Ouahab, A. (2008)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 26A33, 34A60, 34K40, 93B05 In this paper we investigate the existence of solutions for fractional functional differential inclusions with infinite delay. In the last section we present an application of our main results in control theory.