Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces

DOI10.1186/1687-2770-2012-145zbMath1278.26010OpenAlexW2128087056WikidataQ59288413 ScholiaQ59288413MaRDI QIDQ384581

Hilmi Ergören, Adem Kilicman

Publication date: 28 November 2013

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

Full work available at URL: https://doi.org/10.1186/1687-2770-2012-145

zbMATH Keywords

boundary value problemfixed point theoremexistence and uniquenessnonlocal conditionimpulsive integro-differential equationCaputo type fractional derivative

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33)

Related Items (11)

Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition ⋮ Evolution fractional differential problems with impulses and nonlocal conditions ⋮ On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator ⋮ Impulsive problems for fractional differential equations with nonlocal boundary value conditions ⋮ Impulsive functional-differential equations of fractional order with variable moments ⋮ A study on the mild solution of impulsive fractional evolution equations ⋮ Existence and uniqueness of solutions for coupled impulsive fractional pantograph differential equations with antiperiodic boundary conditions ⋮ Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces ⋮ Alternative variational iteration method for solving the time-fractional Fornberg-Whitham equation ⋮ Impulsive functional delay differential inclusions of fractional order at variable times ⋮ Impulsive fractional differential inclusions with flux boundary conditions

Cites Work

• The existence and uniqueness of mild solutions for impulsive fractional equations with nonlocal conditions and infinite delay
• On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
• Existence results for fractional impulsive integrodifferential equations in Banach spaces
• The matrix Laguerre transform
• Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
• Kronecker operational matrices for fractional calculus and some applications
• The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Existence results for the three-point impulsive boundary value problem involving fractional differential equations
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Semilinear fractional integro-differential equations with compact semigroup
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions
• Existence of solutions of quasilinear integrodifferential equations with nonlocal condition
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Existence of solutions of a semilinear functional-differential evolution nonlocal problem
• Theorem about existence and uniqueness of continuous solution of nonlocal problem for nonlinear hyperbolic equation
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces