Semilinear ordinary differential equation coupled with distributed order fractional differential equation (Q965023)
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scientific article; zbMATH DE number 5169236
- On a model of viscoelastic rod in unilateral contact with a rigid wall
| Language | Label | Description | Also known as |
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| English | Semilinear ordinary differential equation coupled with distributed order fractional differential equation |
scientific article; zbMATH DE number 5169236 |
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Semilinear ordinary differential equation coupled with distributed order fractional differential equation (English)
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On a model of viscoelastic rod in unilateral contact with a rigid wall (English)
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21 April 2010
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2 July 2007
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The authors find and study the solution to certain nonlinear system of two functional equations, which involve the Riemann-Liouville derivative in the space of tempered distributions. The authors give sufficient conditions for the existence of mild, non-impact and classical solution of such system. The mentioned system is motivated by the dynamics of a physical process in an anomalous media. On the other hand, the authors consider the existence and uniqueness of a solution to a linear fractional differential equation.
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fractional differentiation
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tempered distributions
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Schauder fixed point theorem
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fractional derivative
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impact
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a priori estimates
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0.8222298622131348
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0.796771764755249
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0.7959352731704712
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0.793205201625824
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0.7918884754180908
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