General solutions of higher order impulsive fractional differential equations involved with the Caputo type generalized fractional derivatives and applications
The generalized fractional integral operator and the Caputo type generalized fractional derivative operator are defined which contain the Riemann– Liouville integral operator, the Hadamard fractional integral operator, the Caputo fractional derivative operator and the Caputo type Hadamard fractional...
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| További közreműködők: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 3-4 |
| Kulcsszavak: | Differenciálegyenlet, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-793-1 |
| Online Access: | http://acta.bibl.u-szeged.hu/50047 |
| Tartalmi kivonat: | The generalized fractional integral operator and the Caputo type generalized fractional derivative operator are defined which contain the Riemann– Liouville integral operator, the Hadamard fractional integral operator, the Caputo fractional derivative operator and the Caputo type Hadamard fractional derivative operator as special cases. General solutions (the explicit solutions) of the impulsive Caputo type generalized fractional differential equations are given. Applying our results, existence results of solutions of boundary value problems for an impulsive fractional differential equations involved with the Caputo type generalized fractional derivatives are established. Examples and some remarks on recent published papers are presented to illustrate the main theorems. |
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| Terjedelem/Fizikai jellemzők: | 457-485 |
| ISSN: | 0001-6969 |