Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-12

AUTHORS

Mingyue Zuo, Xinan Hao, Lishan Liu, Yujun Cui

ABSTRACT

In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition. Our results are based on the Banach contraction mapping principle and the Krasnoselskii fixed point theorem. Some examples are also given to illustrate our results. More... »

PAGES

161

References to SciGraph publications

  • 2017-12. Existence of solutions for impulsive fractional evolution equations with periodic boundary condition in ADVANCES IN DIFFERENCE EQUATIONS
  • 2014-10. On the impulsive fractional anti-periodic BVP modelling with constant coefficients in JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • 2017-12. On existence of BVP’s for impulsive fractional differential equations in ADVANCES IN DIFFERENCE EQUATIONS
  • 2013-12. Existence results for a functional boundary value problem of fractional differential equations in ADVANCES IN DIFFERENCE EQUATIONS
  • 2016-12. Impulsive boundary value problem for a fractional differential equation in BOUNDARY VALUE PROBLEMS
  • 2013-09. Presentation of solutions of impulsive fractional Langevin equations and existence results in THE EUROPEAN PHYSICAL JOURNAL SPECIAL TOPICS
  • 2011-12. Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional Differential Equations with Impulses in ADVANCES IN DIFFERENCE EQUATIONS
  • 2016-12. Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions in BOUNDARY VALUE PROBLEMS
  • 2016-12. Positive solution for singular fractional differential equations involving derivatives in ADVANCES IN DIFFERENCE EQUATIONS
  • 2014-09. Existence of solutions to boundary value problem for impulsive fractional differential equations in FRACTIONAL CALCULUS AND APPLIED ANALYSIS
  • 2014-12. On the existence of blow up solutions for a class of fractional differential equations in FRACTIONAL CALCULUS AND APPLIED ANALYSIS
  • 2017-12. Positive solutions for a class of fractional 3-point boundary value problems at resonance in ADVANCES IN DIFFERENCE EQUATIONS
  • 2017-12. The stability of evolutionary p(x)-Laplacian equation in BOUNDARY VALUE PROBLEMS
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    41 schema:description In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition. Our results are based on the Banach contraction mapping principle and the Krasnoselskii fixed point theorem. Some examples are also given to illustrate our results.
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