Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 2, Pages 2033-2039Publisher
WILEY
DOI: 10.1002/mma.6909
Keywords
Integral inequality; q-fractional integral; quantum calculus
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The study focuses on q-difference equations, showing their applications in diverse fields and presenting q-fractional integral inequalities of Henry-Gronwall type. These inequalities are suggested using inequality techniques related to quantum calculus, with an application to q-fractional integral equations also provided.
The study ofq-difference equations has gained intensive interest in the last years. It has been shown that these types of equations have numerous applications in diverse fields and thus have evolved into multidisciplinary subjects. In this paper, theq-fractional integral inequalities of Henry-Gronwall type are presented. By using inequality technique related to the quantum calculus, such integral inequalities are suggested. Furthermore, an applications toq-fractional integral equations is also given.
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