Abstract
In this paper, we discuss a class of new Volterra-Fredholm weakly singular difference inequality. The explicit bounds for the unknown functions are given clearly by discrete Jensen inequality, Cauchy-Schwarz inequality, Gamma function, change of variable, the mean-value theorem for integrals and amplification method. The derived results can be applied in the study of fractional difference equations in engineering.
Publisher
Trans Tech Publications, Ltd.
Reference9 articles.
1. T. H. Gronwall: Ann Math. vol. 20(1919), p.292.
2. R. Bellman: Duke Mathematical Journal, Vol. 10(1943) , p.643.
3. S. Sugiyama: Bull. Sci. Engr. Research Lab. Waseda Univ. vol. 45(1969), p.140.
4. M. Kuczma: An introduction to the theory of functional equations and inequalities: Cauchy's equation and Jensen's inequality (University of Katowice, Katowice, 1985).
5. M. Medved: J. Math. Anal. Appl. Vol. 214(1997) , p.349.
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