New Aspects of Opial-Type Integral Inequalities
Loading...
Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
Yes
OpenAIRE Downloads
22
OpenAIRE Views
8
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Average
Popularity
Top 10%
Abstract
In this manuscript, we prove new aspects for several Opial-type integral inequalities for the left and right Caputo-Fabrizio operators with nonsingular kernel. For this purpose we use the inequalities obtained by Andri et al. (Integral Transforms Spec. Funct. 25(4):324-335, 2014), which is the generalization of an inequality of Agarwal and Pang (Opial Inequalities with Applications in Differential and Difference Equations, 1995). Besides, examples are presented to validate the reported results.
Description
Keywords
Opial-Type Inequality, The Left Operator, The Right Operator, The Left Integral, The Right Integral, Caputo-Fabrizio Fractional Derivative, The Right Integral, Generalization, The Left Operator, Matrix Inequalities and Geometric Means, Theory and Applications of Fractional Differential Equations, Invertible matrix, Mathematical analysis, Opial-type inequality, Operator Inequalities, Fractional Integrals, Differential equation, The Left Integral, Caputo-Fabrizio Fractional Derivative, The left operator, The right operator, QA1-939, FOS: Mathematics, Biology, Anomalous Diffusion Modeling and Analysis, Integral equation, The right integral, Ecology, Applied Mathematics, FOS: Clinical medicine, Pure mathematics, The left integral, Caputo–Fabrizio fractional derivative, Partial differential equation, Applied mathematics, Opial-Type Inequality, Inequality, Modeling and Simulation, FOS: Biological sciences, Dentistry, Physical Sciences, Kernel (algebra), Medicine, The Right Operator, Calculus (dental), Type (biology), Mathematics, Ordinary differential equation, right operator, Denjoy and Perron integrals, other special integrals, left operator, Fractional derivatives and integrals, Inequalities involving derivatives and differential and integral operators, Integrals of Riemann, Stieltjes and Lebesgue type, Inequalities for sums, series and integrals, Convexity of real functions in one variable, generalizations, Caputo-Fabrizio fractional derivative, left integral, right integral
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Basci, Yasemin; Baleanu, Dumitru (2018). New aspects of Opial-type integral inequalities, Advances in Difference Equations.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
9
Source
Advances in Difference Equations
Volume
2018
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 4
Scopus : 11
SCOPUS™ Citations
11
checked on Feb 25, 2026
Web of Science™ Citations
9
checked on Feb 25, 2026
Page Views
5
checked on Feb 25, 2026
Google Scholar™
