Solutions to boundary-value problems for nonlinear differential equations of fractional order.
Su, Xinwei, Zhang, Shuqin (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Su, Xinwei, Zhang, Shuqin (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Zhang, Shuqin (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Wu, Jun, Liu, Yicheng (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yuan, Chengjun (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Qiu, Tingting, Bai, Zhanbing (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Liu, Xiping, Jia, Mei, Wu, Baofeng (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Abbas, Said, Agarwal, Ravi P., Benchohra, Mouffak (2010)
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Mophou, Gisele M., N'Guerekata, Gaston M. (2009)
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Yang, Dandan (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Karapetyants, N.K., Ginzburg, A.I. (1995)
Georgian Mathematical Journal
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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...
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.