A discrete fractional Gronwall inequality

By Rui A. C. Ferreira. 2012

105 citations recorded by the source corpus.

. In this work we derive a Gronwall type inequality within the discrete fractional setting. Our results constitute generalizations on the inequal- ities of discrete calculus.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/35d8fe4d745025496d94345cbe99655c63447bae

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In Applied Mathematics

In Modeling and Simulation

Citations in the corpus

Comparison theorems and asymptotic behavior of solutions of discrete fractional equations (2015, methodology): “We refer the readers to [1, 4], for example, and more recently [6, 8].”
Exponential functions of discrete fractional calculus (2013, methodology): “We refer the reader to [2, 7, 12, 13, 14, 15, 16], for example, and more recently [8, 10, 11].”
Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one (2013, background): “It took almost 20 years for researchers to start developing this theory [2,3] but now authors are expanding this field of science in various directions [6,8,14,15].”
Two monotonicity results for nabla and delta fractional differences (2015, methodology): “We refer the readers to [1,2,4], for example, and more recently [7,9].”
Convexity for nabla and delta fractional differences (2015, methodology): “Probably more work has been developed for the backward or nabla difference and we refer the readers [6] and [9].”