Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions

By Ž. Tomovski, Rudolf Hilfer, Hari M. Srivastava. 2010

316 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f40fcca31878c8a609bc72ab1fad1ee168248f3a

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In Mechanics of Materials

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Advanced Local Fractional Calculus and Its Applications (2012, unknown): “[150] Z.”
On some operators involving Hadamard derivatives (2013, unknown): “[15].”
Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments (2020, background): “For other results involving various classes of fractional kinetic equations and their solutions, one may refer to such works as (for example) [15, 26, 34, 68, 73, 74, 75, 76, 78, 97].”
A practical guide to Prabhakar fractional calculus (2020, unknown): “[10,11,16,138,142,148]).”
A study of fractional integral operators involving a certain generalized multi‐index Mittag‐Leffler function (2018, methodology): “We apply definitions (27) and (28) in conjunction with the definition (8) of the generalized multi-index Mittag-Leffler function E (αj ,βj )m[z].”
Generalized Cauchy type problems for nonlinear fractional differential equations with composite fractional derivative operator (2012, methodology): “3) and Hardy type inequality with generalized R–L fractional derivative operator were obtained in the recent papers [11,15].”
Some Applications of Mittag-Leffler Function in the Unit Disk (2016, unknown): “in [1], [2], [3], [4], [5], [7], [12], [13],[14], [15], [16], [19], [20] and [21].”
Some New Fractional-Calculus Connections between Mittag–Leffler Functions (2019, background): “Applications As we have already discussed, the various Mittag–Leffler functions are interesting from the point of view of pure mathematical analysis and fractional calculus [34–37] (see also the correction [16,36,38]).”
The Role of the Mittag-Leffler Function in Fractional Modeling (2015, background): “The most extended source for such information is the recent monograph [1] (see also the papers tightly related to the topic of the monograph [19–22]).”