On a method for constructing a solution of integro-differential equations of fractional order
In this paper, we propose a new method for constructing a solution of the integro-differential equations of Volterra type. The particular solutions of the homogeneous and of the inhomogeneous equation will be constructed and the Cauchy type problems will be investigated. Note that this method is bas...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2018
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet, Integrodifferenciál-egyenlet |
| Online Access: | http://acta.bibl.u-szeged.hu/55695 |
| Tartalmi kivonat: | In this paper, we propose a new method for constructing a solution of the integro-differential equations of Volterra type. The particular solutions of the homogeneous and of the inhomogeneous equation will be constructed and the Cauchy type problems will be investigated. Note that this method is based on construction of normalized systems functions with respect to the differential operator’s fractional order. |
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| Terjedelem/Fizikai jellemzők: | 1-14 |
| ISSN: | 1417-3875 |