Bounds of Riemann-Liouville Fractional Integrals in General Form via Convex Functions and Their Applications

By G. Farid, W. Nazeer, M. Saleem, S. Mehmood, Shin Min Kang. Mathematics, 2018

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In this article, we establish bounds of sum of the left and right sided Riemann Liouville (RL) fractional integrals and related inequalities in general form. A new and novel approach is followed to obtain these results for general Riemann Liouville (RL) fractional integrals. Monotonicity and convexity of functions are used with some usual and straight forward inequalities. The presented results are also have connection with some known and already published results. Applications and motivations of presented results are briefly discussed.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/fcdfda060f1b01ed51e8db128f54ef252b1482a2