2015•Hacettepe Journal of Mathematics and StatisticsOpen access

(k,s)-Riemann-Liouville fractional integral and applications

Mehmet Zeki Sarıkaya, Zoubir Dahmani, Mehmet Eyüp Ki̇ri̇ş

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Abstract

In this paper, we introduce a new approach on fractional integration,which generalizes the Riemann-Liouville fractional integral. We provesome properties for this new approach. We also establish some newintegral inequalities using this new fractional integration.

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What this paper is about

In this paper, we introduce a new approach on fractional integration,which generalizes the Riemann-Liouville fractional integral. We provesome properties for this new approach. We also establish some newintegral inequalities using this new fractional integration.

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OpenAlex reports 148 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we introduce a new approach on fractional integration,which generalizes the Riemann-Liouville fractional integral. We provesome properties for this new approach. We also establish some newintegral inequalities using this new fractional integration.

Key concepts: Mathematics, Fractional calculus, Riemann integral, Mathematical analysis, Pure mathematics, Integral equation, Singular integral

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