The Q-Fractional Analogue for Gronwall-Type Inequality
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Open Access Color
GOLD
Green Open Access
Yes
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No
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Top 10%
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Top 10%
Abstract
We utilize q-fractional Caputo initial value problems of order 0 < alpha <= 1 to derive a.. -analogue for Gronwall-type inequality. Some particular cases are derived where q-Mittag-Leffler functions and q-exponential type functions are used. An example is given to illustrate the validity of the derived inequality.
Description
Abdeljawad, Thabet/0000-0002-8889-3768; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138
Keywords
Economics, Social Sciences, Exponential type, Dynamical Systems (math.DS), Matrix Inequalities and Geometric Means, Mathematical analysis, Decision Sciences, Fractional Integrals, QA1-939, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mathematics - Dynamical Systems, Biology, Anomalous Diffusion Modeling and Analysis, Order (exchange), Ecology, Applied Mathematics, FOS: Clinical medicine, Exponential function, Applied mathematics, Gronwall's inequality, Fractional Derivatives, Inequality, Mathematics - Classical Analysis and ODEs, Modeling and Simulation, FOS: Biological sciences, Dentistry, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Medicine, Fractional Calculus, Statistics, Probability and Uncertainty, Calculus (dental), Type (biology), Mathematics, Finance, Difference equations, scaling (\(q\)-differences), Mittag-Leffler functions and generalizations, Fractional derivatives and integrals, Inequalities for sums, series and integrals
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Abdeljawad, Thabet; Alzabut, Jehad O. "The q-Fractional Analogue for Gronwall-Type Inequality", Journal of Function Spaces and Applications, (2013)
WoS Q
Scopus Q
OpenCitations Citation Count
29
Source
Journal of Function Spaces and Applications
Volume
2013
Issue
Start Page
1
End Page
7
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CrossRef : 5
Scopus : 39
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Mendeley Readers : 4
SCOPUS™ Citations
41
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Web of Science™ Citations
42
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4
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