GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A SEMI-LINEAR TIME AND SPACE FRACTIONAL SYSTEM

B. Ahmad; D. Hnaien; M. Kirane

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Journal article

GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A SEMI-LINEAR TIME AND SPACE FRACTIONAL SYSTEM

B. Ahmad, D. Hnaien and M. Kirane

APPLIED AND COMPUTATIONAL MATHEMATICS, Vol.16(2), pp.148-158

01/01/2017

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

It is shown that an SIR system with fractional time derivatives and anomalous diffusions admits a global solution. Furthermore, time bounds on the solutions are established. The method of proof uses fine results concerning the semigroup associated to the linear part.

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Title: GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A SEMI-LINEAR TIME AND SPACE FRACTIONAL SYSTEM
Creators - without role: B. Ahmad - King Abdulaziz University
D. Hnaien - University of Sfax
M. Kirane - King Abdulaziz University
Publication Details: APPLIED AND COMPUTATIONAL MATHEMATICS, Vol.16(2), pp.148-158
Publisher: Ministry Communications & High Technologies Republic Azerbaijan
Number of pages: 11
Identifiers: 9938376708331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article