Nonlinear Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces

Journal Title: Journal of Mathematics and Applications - Year 2018, Vol 41, Issue

Abstract

This paper is devoted to study the existence of solutions for a class of initial value problems for non-instantaneous impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. The arguments are based upon Mönch's fixed point theorem and the technique of measures of noncompactness.

Authors and Affiliations

Mouffak Benchohra, Mehdi Slimane

Keywords

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  • EP ID EP426911
  • DOI 10.7862/rf.2018.4
  • Views 64
  • Downloads 0

How To Cite

Mouffak Benchohra, Mehdi Slimane (2018). Nonlinear Fractional Differential Equations with Non-Instantaneous Impulses in Banach Spaces. Journal of Mathematics and Applications, 41(), 39-51. https://europub.co.uk/articles/-A-426911