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Continuous solutions for fractional integral inclusion in locally convex topological space

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Abstract

The existence of continuous solutions for fractional integral inclusion via its single-valued problem and fixed point theorem for set-valued function in locally convex topological spaces is discussed. The proof of the single-valued problem will be based on the Leray-Schauder fixed point theorem. Moreover, the controllability of this solution is studied.

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Correspondence to Rabha W. Ibrahim.

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Ibrahim, R.W. Continuous solutions for fractional integral inclusion in locally convex topological space. Appl. Math. J. Chin. Univ. 24, 175–183 (2009). https://doi.org/10.1007/s11766-009-1904-y

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  • DOI: https://doi.org/10.1007/s11766-009-1904-y

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