On solvability of some impulsive initial value‎ ‎fractional differential equations via generalized weak Wardowski contractions

Authors

  • Babak Mohammadi ‎TDepartment of Mathematics‎, ‎Marand Branch‎, ‎Islamic Azad University‎, ‎Marand‎, ‎Iran

DOI:

https://doi.org/10.30495/jme.v19i0.3234

Keywords:

weak Wardowski contractions‎, ‎fixed point‎, ‎impulsive‎, ‎initial value‎, ‎fractional differential ‎equations‎

Abstract

In this paper‎, ‎we investigate the solvability of some impulsive initial value‎

‎fractional differential equations of arbitrary order via generalized weak Wardowski contractions introduced in ‎Mohammadi et al. ‎‎ ‎‎ [‎‎‎On solvability of‎

‎$(k-\phi)$-Hilfer fractional differential equations via generalized weak Wardowski contractions‎, ‎submitted]‎. ‎Our results provide and introduce a model to the solution of impulsive initial value fractional differential equations of arbitrary order‎. An illustrative example is given to show the usability and usefulness of our main result.

Downloads

Published

2025-03-23

Issue

Section

Vol. 19, No. 1, (2025)