Some Inequalities Related to Riemann-Liouville Fractional Inequalities in Q-Calculus

Authors : Zakaria Abubakari Sadiq; Abdulai Nashiru

Volume/Issue : Volume 5 - 2020, Issue 9 - September

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The purpose of this paper is to present different fractional order derivatives and inequalities that are commonly used in the literature, especially in Riemann-Liouville sense of Fractional inequalities in the context of q-calculus. In this current work we have presented some new inequalities related to the RiemannLiouville Fractional inequalities in the context of qcalculus. Fractional calculus explores integrals and derivatives of functions involving non-integer order(s). Its application to Quantum calculus (q-Calculus), on the other hand focuses on investigations related to calculus without limits. In recent times, these aspect of mathematics has attracted the attention of many researchers due to its high demand for solving complex systems in nature with anomalous dynamics. We therefore, introduce some new inequalities related to Riemann-Liouville fractional integral inequalities with limist via q-Calculus

Keywords : Riemann-Liouville, Fractional calculus, qCalculus, limits 2010.


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