Advancements on $\psi $-Hilfer Fractional Calculus and Fractional Integral Inequalities
DOI:
https://doi.org/10.5890/DNC.2023.06.002Abstract
After motivation we give a complete background on needed $\psi $-Hilfer fractional Calculus. Then we produce $\psi $-Hilfer fractional left and right Taylor formulae. We give also important $\psi $-Hilfer fractional left and right representation integral formulae regarding $\psi $-Hilfer left and right fractional derivatives. Then we give extensive applications of our $% \psi $-Hilfer fractional results to left and right $\psi $-Hilfer fractional Ostrowski, Opial and Poincaré type integral inequalities. We create the space for more future forthcoming results.References
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