New Gronwall-Bellman type inequalities and applications in the analysis for solutions to fractional differential equations

DOI10.1155/2013/705126zbMath1470.34218OpenAlexW2115387952WikidataQ58916674 ScholiaQ58916674MaRDI QIDQ2318994

Qinghua Feng, Bin Zheng

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/705126

Mathematics Subject Classification ID

Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

Some new Gronwall-Bihari type inequalities associated with generalized fractional operators and applications ⋮ Some new Gronwall-Bellman-Bihari type integral inequality associated with \(\psi\)-Hilfer fractional derivative ⋮ Some new Gamidov type integral inequalities associated with \(\psi \)-fractional operators

Cites Work

• Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations
• Generalized Gronwall-Bellman-type discrete inequalities and their applications
• Some retarded nonlinear integral inequalities and their applications in retarded differential equations
• Fractional variational homotopy perturbation iteration method and its application to a fractional diffusion equation
• A class of retarded nonlinear integral inequalities and its application in nonlinear differential-integral equation
• Some new Gronwall-Bellman type nonlinear dynamic inequalities containing integration on infinite intervals on time scales
• Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method
• Generalized Gronwall-Bellman-type delay dynamic inequalities on time scales and their applications
• About some new generalizations of bellman-bihari results for integro-functional inequalities with discontinuous functions and applications
• Gronwall, Bellman and Pachpatte type integral inequalities with applications
• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• A new fractional analytical approach via a modified Riemann-Liouville derivative
• Gronwall-Bellman type nonlinear delay integral inequalities on time scales
• Some new integral inequalities and their applications in studying the stability of nonlinear integro-differential equations with time delay
• The bounds on the solutions of certain two-dimensional delay dynamic systems on time scales
• Fractional variational calculus for nondifferentiable functions
• Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science
• On retarded integral inequalities and their applications
• Estimates on some power nonlinear Volterra-Fredholm type discrete inequalities and their applications
• A generalized Gronwall inequality and its application to a fractional differential equation
• Some delay integral inequalities on time scales
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Generalized retarded integral inequalities
• Inequalities for differential and integral equations
• Generalization of a retarded Gronwall-like inequality and its applications
• Explicit bounds on some new nonlinear integral inequalities with delay
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Discrete non-linear inequalities and applications to boundary value problems
• Integral inequalities for retarded Volterra equations
• The stability of solutions of linear differential equations
• Inequalities on Time Scales: A Survey
• Some nonlinear dynamic inequalities on time scales and applications
• ( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics
• Some nonlinear dynamic inequalities on time scales
• Some new delay integral inequalities and their applications
• Explicit bounds on certain integral inequalities

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