On fractional Volterra integrodifferential equations with fractional integrable impulses

Abstract

We consider a class of nonlinear fractional Volterra integrodifferential equation with fractional integrable impulses and investigate the existence and uniqueness results in the Bielecki’s normed Banach spaces. Further, Bielecki-Ulam type stabilities have been demonstrated on a compact interval. A concrete example is provided to illustrate the outcomes we acquired.

Keywords

• fractional Volterra integrodifferential equation
• integrable impulses
• Banach contraction principle
• existence of solutions
• Bielecki norm
• Bielecki-Ulam type stability