Integral inequalities of systems and the estimate for solutions of certain nonlinear two-dimensional fractional differential systems

Authors:
Qing-Hua Ma;Josip Pečarić;Jian-Mei Zhang
Affiliations:
Faculty of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, PR China;Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia;Faculty of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, PR China
Venue:
Computers & Mathematics with Applications
Year:
2011

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Abstract

This paper generalizes the results for the constructions of explicit bounds and the qualitative properties for the solutions of certain two-dimensional fractional differential systems established in a recent paper of the authors. The main generalizations come from an elementary inequality and by means of the modification of Medved's de-singular approach.