Hyers‐Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions

By Kamal Shah, Arshad Ali, S. Bushnaq. Mathematical methods in the applied sciences, 2018

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In this article, we deal with the existence and Hyers‐Ulam stability of solution to a class of implicit fractional differential equations (FDEs), having some initial and impulsive conditions. Some adequate conditions for the required results are obtained by utilizing fixed point theory and nonlinear functional analysis. At the end, we provide an illustrative example to demonstrate the applications of our obtained results.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/efe2e97219054cb9814454d0435d9ce6c1d140d2