Continuous solutions for fractional integral inclusion in locally convex topological space |
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Authors: | Rabha W Ibrahim |
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Institution: | School of Mathematical Sciences, Faculty of Sciences and Technology, UKM, Malaysia |
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Abstract: | The existence of continuous solutions for fractional integral inclusion via its singlevalued 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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Keywords: | Riemann-Liouville integral operator integral inclusion set-valued function |
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