Existence of solutions for fractional differential inclusions with boundary conditions.
Yang, Dandan (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Yang, Dandan (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Rajkovic, Predrag, Marinkovic, Sladjana, Stankovic, Miomir (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 33D60, 33E12, 26A33 Based on the fractional q–integral with the parametric lower limit of integration, we consider the fractional q–derivative of Caputo type. Especially, its applications to q-exponential functions allow us to introduce q–analogues of the Mittag–Leffler function. Vice versa, those functions can be used for defining generalized operators in fractional q–calculus.
Ibrahim, Rabha W. (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Abbas, Said, Agarwal, Ravi P., Benchohra, Mouffak (2010)
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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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.
Purohit, S.D., Raina, R.K. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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El-Sayed, Ahmed M.A., Gaafar, Fatma M., Hamadalla, Eman M.A. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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...
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...
Zhang, Shuqin (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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N. Ravikumar, S. Latha (2012)
Matematički Vesnik
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