Progress on Generalized Hilfer Fractional Calculus and Fractional Integral Inequalities
Abstract
After motivation we give a complete background on needed ψ -Hilfer fractional Calculus. Then we produce ψ -Hilfer fractional left and right Taylor formulae. We give also important ψ -Hilfer fractional left and right representation integral formulae regarding ψ -Hilfer left and right fractional derivatives. Then we give extensive applications of our ψ -Hilfer fractional results to left and right ψ -Hilfer fractional Ostrowski, Opial and Poincaré type integral inequalities. We create the space for more future forthcoming results.
Publication Title
Studies in Systems, Decision and Control
Recommended Citation
Anastassiou, G. (2022). Progress on Generalized Hilfer Fractional Calculus and Fractional Integral Inequalities. Studies in Systems, Decision and Control, 398, 1-27. https://doi.org/10.1007/978-3-030-86920-5_1
