New integral inequalities with weakly singular kernel for discontinuous functions and their applications to impulsive fractional differential systems

DOI10.1155/2014/252946zbMath1437.34065DBLPjournals/jam/Shao14OpenAlexW2099598034WikidataQ59050511 ScholiaQ59050511MaRDI QIDQ2336260

Jing Shao

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/252946

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33) Singular perturbations of ordinary differential equations (34D15) Inequalities for sums, series and integrals (26D15) Fractional ordinary differential equations (34A08)

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Cites Work

• Existence results for fractional order functional differential equations with impulse
• On fractional impulsive equations of Sobolev type with nonlocal condition in Banach spaces
• Generalized anti-periodic boundary value problems of impulsive fractional differential equations
• A generalized Gronwall inequality and its application to a fractional differential equation
• About new analogies of Gronwall-Bellman-Bihari type inequalities for discontinuous functions and estimated solutions for impulsive differential systems
• Fractional integral inequalities and applications
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• On some generalizations Bellman-Bihari result for integro-functional inequalities for discontinuous functions and their applications
• Analysis of Caputo impulsive fractional order differential equations with applications
• Gronwall-Bellman type inequalities and their applications to fractional differential equations
• Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations
• Integro-sum inequalities and motion stability of systems with impulse perturbations
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