Advances in Difference Equations (Aug 2020)

Existence of solutions of non-autonomous fractional differential equations with integral impulse condition

  • Ashish Kumar,
  • Harsh Vardhan Singh Chauhan,
  • Chokkalingam Ravichandran,
  • Kottakkaran Sooppy Nisar,
  • Dumitru Baleanu

DOI
https://doi.org/10.1186/s13662-020-02888-3
Journal volume & issue
Vol. 2020, no. 1
pp. 1 – 14

Abstract

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Abstract In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction. The obtained results are verified via a supporting example.

Keywords