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Existence of anti-periodic mild solutions for a class of semilinear fractional differential equations

✍ Scribed by Junfei Cao; Qigui Yang; Zaitang Huang

Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
224 KB
Volume
17
Category
Article
ISSN
1007-5704

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✦ Synopsis

This work is concerned with the existence of anti-periodic mild solutions for a class of semilinear fractional differential equations

where 1 < a < 2, A is a linear densely defined operator of sectorial type of x < 0 on a complex Banach space X and F is an appropriate function defined on phase space, the fractional derivative is understood in the Riemann-Liouville sense. The results obtained are utilized to study the existence of anti-periodic mild solutions to a fractional relaxationoscillation equation.

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