On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives

Thabet Abdeljawad; Fahd Jarad; Dumitru Baleanu

doi:10.1007/s11425-008-0068-1

$On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives$

Journal article

On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives

Thabet Abdeljawad, Fahd Jarad and Dumitru Baleanu

Science in China. Series A, Mathematics, physics, astronomy, Vol.51(10), pp.1775-1786

01/10/2008

DOI: https://doi.org/10.1007/s11425-008-0068-1

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz and the continuity kind conditions are analyzed.

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Title: On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives
Creators - without role: Thabet Abdeljawad - Çankaya University
Fahd Jarad - Çankaya University
Dumitru Baleanu - Çankaya University
Publication Details: Science in China. Series A, Mathematics, physics, astronomy, Vol.51(10), pp.1775-1786
Publisher: Science Press
Number of pages: 12
Grant note: Scientific and Technical Research Council of Turkey; Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK)
Identifiers: 9927047108331
Academic Unit: Prince Sultan University
Language: English
Resource Type: Journal article