On a nonlinear fractional order differential inclusion.
Cernea, A. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Cernea, A. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Wang, Taige, Xie, Feng (2008)
The Journal of Nonlinear Sciences and its Applications
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Qiu, Tingting, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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Qiu, Tingting, Bai, Zhanbing (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Benchohra, Mouffak, Hamani, Samira, Nieto, Juan Jose, Slimani, Boualem Attou (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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B. Stanković (2008)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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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.
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...
Takači, Dj., Takači, A. (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 44A45, 44A40, 65J10 We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages...
Atanackovic, T., Stankovic, B. (2004)
Fractional Calculus and Applied Analysis
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An expansion formula for fractional derivatives given as in form of a series involving function and moments of its k-th derivative is derived. The convergence of the series is proved and an estimate of the reminder is given. The form of the fractional derivative given here is especially suitable in deriving restrictions, in a form of internal variable theory, following from the second law of thermodynamics, when applied to linear viscoelasticity of fractional derivative type. ...