
arXiv: 1811.12087
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.
Bielecki norm, Functional-differential equations with impulses, Articles, integrable impulses, Dynamical Systems (math.DS), Integro-ordinary differential equations, fractional Volterra integrodifferential equation, existence of solutions, QA1-939, FOS: Mathematics, fractional Volterra integro-differential equation, Mathematics - Dynamical Systems, Bielecki-Ulam type stability, 34A37, 45M10, 34G20, 34A08, Mathematics, Functional-differential equations in abstract spaces, Functional-differential equations with fractional derivatives, Banach contraction principle
Bielecki norm, Functional-differential equations with impulses, Articles, integrable impulses, Dynamical Systems (math.DS), Integro-ordinary differential equations, fractional Volterra integrodifferential equation, existence of solutions, QA1-939, FOS: Mathematics, fractional Volterra integro-differential equation, Mathematics - Dynamical Systems, Bielecki-Ulam type stability, 34A37, 45M10, 34G20, 34A08, Mathematics, Functional-differential equations in abstract spaces, Functional-differential equations with fractional derivatives, Banach contraction principle
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