Analysis of fractional order differential coupled systems

Analysis of fractional order differential coupled systems

In this paper, we investigate the existence of solutions to nonlinear fractional order differential coupled systemswith the classical nonlocal initial conditions.We introduce a useful vector norm, named β·B‐vector norm,which is not only a novelty but also provides another way to deal with a large nu...

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Veröffentlicht in:Mathematical methods in the applied sciences 2015-10, Vol.38 (15), p.3322-3338
Hauptverfasser: Wang, JinRong, Zhang, Yuruo
Format: Artikel
Sprache:eng
Schlagworte:
Consumer goods
differential coupled systems
existence
fractional order
Integers
Integrals
Joining
Mathematical analysis
Nonlinearity
Norms
solutions
Vectors (mathematics)
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Zusammenfassung:In this paper, we investigate the existence of solutions to nonlinear fractional order differential coupled systemswith the classical nonlocal initial conditions.We introduce a useful vector norm, named β·B‐vector norm,which is not only a novelty but also provides another way to deal with a large number of problems not limit to integer and noninteger differential systems and singular integral systems. Copyright © 2014 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.3298