Fractional integrodifferentiation in Hölder classes of arbitrary order.
Karapetyants, N.K., Ginzburg, A.I. (1995)
Georgian Mathematical Journal
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Displaying similar documents to “Some existence results for boundary value problems of fractional semilinear evolution equations.”
Fractional integrodifferentiation in Hölder classes of arbitrary order.
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...
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.
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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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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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.
Certain Properties of Fractional Calculus Operators Associated with Generalized Mittag-Leffler Function
Saxena, R. K., Saigo, Megumi (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33, 33E12, 33C20. It has been shown that the fractional integration and differentiation operators transform such functions with power multipliers into the functions of the same form. Some of the results given earlier by Kilbas and Saigo follow as special cases.
-fractional properties of generalized Janowski functions in the unit disc.
Çag̃lar, Mert, Polatog̃lu, Yaşar, Yavuz, Emel (2008)
Matematichki Vesnik
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Generalized Fractional Evolution Equation
Da Silva, J. L., Erraoui, M., Ouerdiane, H. (2007)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: Primary 46F25, 26A33; Secondary: 46G20 In this paper we study the generalized Riemann-Liouville (resp. Caputo) time fractional evolution equation in infinite dimensions. We show that the explicit solution is given as the convolution between the initial condition and a generalized function related to the Mittag-Leffler function. The fundamental solution corresponding to the Riemann-Liouville time fractional evolution equation does...
Fractional Calculus of the Generalized Wright Function
Kilbas, Anatoly (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26A33, 33C20. The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by the series pΨq (z) It is proved that the Riemann-Liouville fractional integrals and derivative of the Wright function are also the Wright functions but of greater order. Special cases are considered. * The present...