APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL EVOLUTION EQUATIONS WITH INTEGRAL CONTRACTOR ASSUMPTION | Zendy

Shouguo Zhu | Zendy; Zhenbin Fan | Zendy; Gang Li | Zendy

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APPROXIMATE CONTROLLABILITY OF RIEMANN-LIOUVILLE FRACTIONAL EVOLUTION EQUATIONS WITH INTEGRAL CONTRACTOR ASSUMPTION

Author(s) -

Shouguo Zhu,

Zhenbin Fan,

Gang Li

Publication year - 2018

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2018.532

Subject(s) - controllability , mathematics , resolvent , fractional calculus , uniqueness , simple (philosophy) , mathematical analysis , pure mathematics , philosophy , epistemology

We propose and investigate an evolution system with a RiemannLiouville fractional derivative. With the aid of a resolvent method, we formulate a suitable notion of solutions to this system and demonstrate the corresponding existence and uniqueness of solutions under a regular integral contractor condition. Furthermore, by applying a space decomposition technique, we exhibit the approximate controllability result of the system. This paper closes with a simple example, which confirms our analytical findings.

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