Several results of fractional differential and integral equations in distribution (Q1634363)
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scientific article; zbMATH DE number 6994628
| Language | Label | Description | Also known as |
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| English | Several results of fractional differential and integral equations in distribution |
scientific article; zbMATH DE number 6994628 |
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Several results of fractional differential and integral equations in distribution (English)
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18 December 2018
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The objective of this paper is to consider the generalized singular Volterra integral equations with Abel kernel in the Sobolev-Schwartz distribution space. Existence theorems are proved and illustrative examples are considered. For the theory of Volterra equations with discontinuous kernels in the Sobolev-Schwartz space, the readers may also refer to Chapter 5 of the monograph of \textit{D. Sidorov} [Integral dynamical models. Singularities, signals and control. Hackensack, NJ: World Scientific (2015; Zbl 1311.45012)] and its bibliography.
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distribution
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fractional calculus
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convolution
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Abel's integral equation
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product
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Mittag-Leffler function
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