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

Related Articles

Ergodic Properties of Random Infinite Products of Nonexpansive Mappings

In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive selfmappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previo...

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

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 spa...

Partial sums of a certain harmonic univalent meromorphic functions

In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums. Let ∑_H denote the class of functions f that are harmoni...

On differential sandwich theorems of analytic functions defined by certain generalized linear operator

In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Som...

Some Fixed Point Theorems for G-Nonexpansive Mappings on Ultrametric Spaces and Non-Archimedean Normed Spaces with a Graph

A very interesting approach in the theory of fixed point is some general structures was recently given by Jachymski by using the context of metric spaces endowed with a graph. The purpose of this article is to present so...

Download PDF file
  • EP ID EP426911
  • DOI 10.7862/rf.2018.4
  • Views 63
  • 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