A generalized Henry-type integral inequality and application to dependence on orders and known functions for a fractional differential equation

DOI10.1155/2014/841718zbMath1442.34032OpenAlexW2027265485WikidataQ59052716 ScholiaQ59052716MaRDI QIDQ2336766

Yanyan Li

Publication date: 19 November 2019

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

Full work available at URL: https://doi.org/10.1155/2014/841718

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Inequalities for sums, series and integrals (26D15) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalized Gronwall inequality and its application to a fractional differential equation
• A generalized Gronwall-Bellman-Ou-Iang type inequality for discontinuous functions and applications to BVP
• Geometric theory of semilinear parabolic equations
• Inequalities for differential and integral equations
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Modified Gronwall's inequality and its application to stabilization problem for semilinear parabolic systems
• A new approach to an analysis of Henry type integral inequalities and their Bihari type versions
• Generalization of a retarded Gronwall-like inequality and its applications
• A retarded Gronwall-like inequality and its applications
• On solution of integral equation of Abel-Volterra type
• 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
• Some new nonlinear inequalities and applications to boundary value problems
• The stability of solutions of linear differential equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Fractional Calculus: Integral and Differential Equations of Fractional Order