Displaying similar documents to “On Fractional Integration Operators.”

Some fractional integral formulas for the Mittag-Leffler type function with four parameters

Praveen Agarwal, Juan J. Nieto (2015)

Open Mathematics

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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.

Hybrid fractional integro-differential inclusions

Sotiris K. Ntouyas, Sorasak Laoprasittichok, Jessada Tariboon (2015)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example illustrating the obtained result is also presented.