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Existence of the mild solution for fractional semilinear initial value problems

โœ Scribed by Omar K. Jaradat; Ahmad Al-Omari; Shaher Momani

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
206 KB
Volume
69
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

On almost automorphic mild solutions for
On almost automorphic mild solutions for fractional semilinear initial value problems
โœ Anping Chen; Fulai Chen; Siqing Deng ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 473 KB

This paper investigates almost automorphic mild solutions of the fractional semilinear where A is a linear operator of sectorial type ฯ‰ < 0. Some sufficient conditions are given for the existence, uniqueness and uniform stability of almost automorphic mild solutions to this semilinear equation.

Existence of anti-periodic mild solution
Existence of anti-periodic mild solutions for a class of semilinear fractional differential equations
โœ Junfei Cao; Qigui Yang; Zaitang Huang ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

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 spac