The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative (Q662647)
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scientific article; zbMATH DE number 6009098
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative |
scientific article; zbMATH DE number 6009098 |
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The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative (English)
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24 February 2012
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The Green's vector-function is introduced to solve the Cauchy problem for equations with right-hand side and initial condition possessing a fractional time derivative and generalized functions. By studying the properties of the adjoint Green's operators, the authors prove the existence and uniqueness of the solutions to the Cauchy problem.
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generalized function
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convolution
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derivative of fractional order
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Green function
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