Decay integral solutions for neutral fractional differential equations with infinite delays | Zendy

Anh Nguyen Thanh | Zendy; Ke Tran Dinh | Zendy

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Decay integral solutions for neutral fractional differential equations with infinite delays

Author(s) -

Anh Nguyen Thanh,

Ke Tran Dinh

Publication year - 2014

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3172

Subject(s) - mathematics , banach space , resolvent , fractional calculus , integral equation , class (philosophy) , mathematical analysis , measure (data warehouse) , c0 semigroup , space (punctuation) , work (physics) , set (abstract data type) , compact space , pure mathematics , physics , linguistics , philosophy , database , artificial intelligence , computer science , programming language , thermodynamics

Our aim in this work is to find decay integral solutions for a class of neutral fractional differential equations in Banach spaces involving unbounded delays. By constructing a suitable measure of noncompactness on the space of solutions and establishing new estimates for fractional resolvent operators, we prove the existence of a compact set of decay integral solutions to the mentioned problem. Copyright © 2014 John Wiley & Sons, Ltd.

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