Semilinear functional differential equations of fractional order with state-dependent delay.
Darwish, Mohamed Abdalla, Ntouyas, Sotiris K. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Semilinear fractional order integro-differential equations with infinite delay in Banach spaces”
Semilinear functional differential equations of fractional order with state-dependent delay.
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.
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 -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...
Mild solutions for semilinear fractional differential equations.
Mophou, Gisele M., N'Guerekata, Gaston M. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fractional integrodifferentiation in Hölder classes of arbitrary order.
Karapetyants, N.K., Ginzburg, A.I. (1995)
Georgian Mathematical Journal
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Impulsive discontinuous hyperbolic partial differential equations of fractional order on Banach algebras.
Abbas, Said, Agarwal, Ravi P., Benchohra, Mouffak (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Floquet boundary value problem of fractional functional differential equations.
Zhou, Yong, Tian, Yuansheng, He, Yun-Yun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Linear Fractional PDE, Uniqueness of Global Solutions
Schäfer, Ingo, Kempfle, Siegmar, Nolte, Bodo (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33, 47A60, 30C15. In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations. Along examples we show that, due to the global definition of fractional derivatives, uniqueness is only sure in case of global initial conditions.
-fractional properties of generalized Janowski functions in the unit disc.
Çag̃lar, Mert, Polatog̃lu, Yaşar, Yavuz, Emel (2008)
Matematichki Vesnik
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