A system of Cauchy fractional differential equations and new properties of Mittag-Leffler functions with matrix argument
Deif, Sarah A. A. 1de Oliveira, E. Capelas
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作者信息
1. Cairo Univ
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Abstract
Starting from the matrix form of the fractional Cauchy problem, new formulae for the sum of the three-parameter Mittag-Leffler functions are deduced. The derivation is based on the Prabhakar fractional integral operator. A Volterra integral equation relating the solution of the Cauchy problem with that of a perturbed problem is also obtained; from this a condition number measuring the sensitivity of the solution to changes in data can be derived. Several examples are also incorporated to test the bounds. (c) 2021 Elsevier B.V. All rights reserved.
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Elsevier