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

Ouahab, Abdelghani

Displaying similar documents to “Filippov's theorem for impulsive differential inclusions with fractional order.”

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

Yuan, Chengjun (2010)

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

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Fractional Integration and Fractional Differentiation of the M-Series

Sharma, Manoj (2008)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 26A33, 33C60, 44A15 In this paper a new special function called as M-series is introduced. This series is a particular case of the H-function of Inayat-Hussain. The M-series is interesting because the pFq -hypergeometric function and the Mittag-Leffler function follow as its particular cases, and these functions have recently found essential applications in solving problems in physics, biology, engineering and applied sciences. Let us note...

Existence and uniqueness of solution for fractional differential equations with integral boundary conditions.

Liu, Xiping, Jia, Mei, Wu, Baofeng (2009)

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

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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 of solutions to differential inclusions with fractional order and impulses.

Benchohra, Mouffak, Hamani, Samira, Nieto, Juan Jose, Slimani, Boualem Attou (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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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.