Principles of Generalized Prabhakar-Hilfer Fractional Calculus and Applications
Abstract
Here we introduce the generalized Prabhakar fractional calculus and we also combine it with the generalized Hilfer calculus. We prove that the generalized left and right side Prabhakar fractional integrals preserve continuity and we find tight upper bounds for them. We present several left and right side generalized Prabhakar fractional inequalities of Hardy, Opial and Hilbert-Pachpatte types.
Publication Title
Studies in Systems, Decision and Control
Recommended Citation
Anastassiou, G. (2022). Principles of Generalized Prabhakar-Hilfer Fractional Calculus and Applications. Studies in Systems, Decision and Control, 398, 177-196. https://doi.org/10.1007/978-3-030-86920-5_8
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