Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 83, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2019.105114
Keywords
General fractional calculus; Prabhakar derivative; Prabhakar function
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Funding
- Natural Science and Engineering Research Council of Canada [2016-03803]
- Bishop's University
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General fractional calculus offers an elegant and self-consistent path toward the generalization of fractional calculus to an enhanced class of kernels. Prabhakar's theory can be thought of, to some extent, as an explicit realization of this scheme achieved by merging the Prabhakar (or, three-parameter Mittag-Leffler) function with the general wisdom of the standard (Riemann-Liouville and Caputo) formulation of fractional calculus. Here I discuss some implications that emerge when attempting to frame Prabhakar's theory within the program of general fractional calculus. (C) 2019 Elsevier B.V. All rights reserved.
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