Stability analysis of higher order nonlinear differential equations in β–normed spaces

By Akbar Zada, Shaleena Shaleena, Tongxing Li. Mathematical methods in the applied sciences, 2018

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In this paper, we interrogate different Ulam type stabilities, ie, β–Ulam–Hyers stability, generalized β–Ulam–Hyers stability, β–Ulam–Hyers–Rassias stability, and generalized β–Ulam–Hyers–Rassias stability, for nth order nonlinear differential equations with integrable impulses of fractional type. The existence and uniqueness of solutions are investigated by using the Banach contraction principle. In the end, we give an example to support our main result.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/88f18e7b77188b63dcc4306c93c932e0b29bdc96