Integral inequalities with `maxima' and their applications to Hadamard type fractional differential equations

DOI10.1186/1029-242X-2014-398zbMath1372.26009OpenAlexW2151465321WikidataQ59320299 ScholiaQ59320299MaRDI QIDQ2405703

Sotiris K. Ntouyas, Phollakrit Thiramanus, Jessada Tariboon

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-398

zbMATH Keywords

fractional differential equationsintegral inequalitydifferential equations with `maxima'

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (5)

Existence and finite-time stability results for impulsive fractional differential equations with maxima ⋮ Analysis of nonlinear Hadamard fractional differential equations via properties of Mittag-Leffler functions ⋮ System of fractional differential equations with Erdélyi-Kober fractional integral conditions ⋮ Existence of periodic solutions for nonlinear implicit Hadamard's fractional differential equations ⋮ Unnamed Item

Cites Work

• On Minkowski and Hermite-Hadamard integral inequalities via fractional integration
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• On some generalizations o f Bellman's lemma
• Inequalities for differential and integral equations
• Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• Henry-Gronwall integral inequalities with ``maxima and their applications to fractional differential equations
• Fractional integral inequalities via Hadamard's fractional integral
• A retarded Gronwall-like inequality and its applications
• Gronwall-Bellman type inequalities and their applications to fractional differential equations
• Dynamic integral inequalities on time scales with `maxima'
• Hadamard-type integrals as G-transforms
• A study on Hadamard fractional integral
• Explicit bounds on certain integral inequalities
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