Geodesic
Some new generalized result of Gronwall-Bellman-Bihari type inequality with some singularity
Filomat, Tome 34 (2020) no. 10, p. 3299

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DOI

The aim purpose of the present work is to investigate some new nonlinear Gronwall-Bellman-Bihari type inequalities with singular kernel via k-fractional integral of Riemann-Liouville. This investigation generalizes some integral inequalities obtained in the literature and extends some other existing types of fractional integral inequalities. The obtained findings can be used to study some properties of solution for fractional differential equations.
DOI : 10.2298/FIL2010299F
Classification : 26D15, 26D20, 26A33
Keywords: Gronwall inequality, k-fractional integral operators, integral inequalities 
Djamal Foukrach; Badreddine Meftah. Some new generalized result of Gronwall-Bellman-Bihari type inequality with some singularity. Filomat, Tome 34 (2020) no. 10, p. 3299 . doi: 10.2298/FIL2010299F
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     author = {Djamal Foukrach and Badreddine Meftah},
     title = {Some new generalized result of {Gronwall-Bellman-Bihari} type inequality with some singularity},
     journal = {Filomat},
     pages = {3299 },
     year = {2020},
     volume = {34},
     number = {10},
     doi = {10.2298/FIL2010299F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2010299F/}
}
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