Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions

DOI10.1186/1687-2770-2012-71zbMath1277.35339OpenAlexW2152863277WikidataQ59289122 ScholiaQ59289122MaRDI QIDQ377691

Jia Mu

Publication date: 7 November 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-71

zbMATH Keywords

monotone iterative techniquenonlocal initial conditionsimpulsive fractional evolution equationsextremal mild solutions

Mathematics Subject Classification ID

Impulsive partial differential equations (35R12)

Related Items (14)

Extremal solutions of \(\varphi\)-Caputo fractional evolution equations involving integral kernels ⋮ Existence of solutions for impulsive fractional evolution equations with periodic boundary condition ⋮ Existence results of mild solutions for impulsive fractional evolution equations with periodic boundary condition ⋮ Existence of mild solutions for impulsive fractional evolution equations with periodic boundary conditions ⋮ The method of lower and upper solutions for impulsive fractional evolution equations ⋮ Evolution fractional differential problems with impulses and nonlocal conditions ⋮ Existence of mild solutions to Hilfer fractional evolution equations in Banach space ⋮ A study on the mild solution of impulsive fractional evolution equations ⋮ Mild solutions of non-autonomous second order problems with nonlocal initial conditions ⋮ THE METHOD OF LOWER AND UPPER SOLUTIONS FOR IMPULSIVE FRACTIONAL EVOLUTION EQUATIONS IN BANACH SPACES ⋮ MIXED MONOTONE ITERATIVE TECHNIQUE FOR HILFER FRACTIONAL EVOLUTION EQUATIONS WITH NONLOCAL CONDITIONS ⋮ MIXED MONOTONE ITERATIVE TECHNIQUE FOR SEMILINEAR IMPULSIVE FRACTIONAL EVOLUTION EQUATIONS ⋮ Existence and uniqueness of extremal mild solutions for non-autonomous nonlocal integro-differential equations via monotone iterative technique ⋮ Upper and lower solution method for Hilfer fractional evolution equations with nonlocal conditions

Cites Work

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• Some probability densities and fundamental solutions of fractional evolution equations
• Identification of fractional systems using an output-error technique
• Fractional calculus description of nonlinear viscoelastic behaviour of polymers
• An abstract monotone iterative technique
• On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions
• Theorem about existence and uniqueness of continuous solution of nonlocal problem for nonlinear hyperbolic equation

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