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

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.