Reference health
General fractional calculus and Prabhakar’s theory
25/25 checkable references clean · checked 2026-07-23
Every reference with a DOI in the deposited reference list resolved to a known work in Crossref or DataCite at the dated check, and none carried a retraction, withdrawal, or removal notice.
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The 25 checked references that resolve
resolves10.1016/j.cnsns.2018.11.004
Neglecting nonlocality leads to unreliable numerical methods for fractional differential equations
resolves10.1016/j.aml.2018.05.013
Fractional-order derivatives defined by continuous kernels are too restrictive
resolves10.1007/s00020-011-1918-8
General Fractional Calculus, Evolution Equations, and Renewal Processes
resolves10.1515/fca-2020-0008
A Comment on a Controversial Issue: A Generalized Fractional Derivative Cannot Have a Regular Kernel
resolves10.1007/s10915-018-0699-5
Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus
resolves10.1080/10652460310001600717
Generalized mittag-leffler function and generalized fractional calculus operators
resolves10.1016/j.cnsns.2017.08.018
The Prabhakar or three parameter Mittag–Leffler function: Theory and application
resolves10.1016/j.jcp.2014.08.006
On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
resolves10.1016/j.cnsns.2016.02.015
Grünwald–Letnikov operators for fractional relaxation in Havriliak–Negami models
resolves10.1080/10652461003675737
Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
resolves10.1016/j.cnsns.2018.07.035
Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions
resolves10.1007/s00033-019-1086-2
Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel
resolves10.1007/s00033-019-1186-z
A note on the article “Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel” [Z. Angew. Math. Phys. (2019) 70: 42]
resolves10.1007/s10955-008-9501-7
On a Mathematical Framework for the Constitutive Equations of Anisotropic Dielectric Relaxation
The 10 references without a DOI — listed, not checked
no DOI — not checked10.1016/j.cnsns.2019.105114_bib0008
no DOI — not checkedFractional calculus: integral and differential equations of fractional order
no DOI — not checked10.1016/j.cnsns.2019.105114_bib0010
no DOI — not checked10.1016/j.cnsns.2019.105114_bib0011
no DOI — not checked10.1016/j.cnsns.2019.105114_bib0012
no DOI — not checkedSonine integral equations of the first kind in Lp(0, b)
no DOI — not checkedA singular integral equation with a generalized Mittag-Leffler function in the kernel
no DOI — not checked10.1016/j.cnsns.2019.105114_bib0020
no DOI — not checkedHilfer–Prabhakar derivatives and some applications
no DOI — not checkedD’Ovidio M., Polito F.. Fractional diffusion-telegraph equations and their associated stochastic solutions. arXiv:1307.1696.
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