Existence Results for Nonautonomous Impulsive Fractional Evolution Equations


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Authors

  • Dimplekumar Chalishajar
  • Duraisamy Senthil Rajab
  • Kulandhaivel Karthikeyanb
  • Ponnusamy Sundararajanc

Keywords:

Nonlocal condition, Fractional nonautonomous differential equations, Measure of noncompactness, Mild solution, Impulsive Fractional evolution integrodifferential equations.

Abstract

In this paper, we investigate the mild solutions of a nonlocal Cauchy problem for nonautonomous fractional evolution equations New results are obtained by using Sadovskii’s fixed point theorem and the Banach contraction mapping principle. An example is given to illustrate the theory.

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Published

2022-11-07

How to Cite

Dimplekumar Chalishajar, Duraisamy Senthil Rajab, Kulandhaivel Karthikeyanb, & Ponnusamy Sundararajanc. (2022). Existence Results for Nonautonomous Impulsive Fractional Evolution Equations. Results in Nonlinear Analysis, 1(3), 133–147. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/14