Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem

By Jinrong Wang, Akbar Zada, Hira Waheed. Mathematical methods in the applied sciences, 2019

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In this article, we study the existence and uniqueness of solution for a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem. Further, we investigate different kinds of stability such as Ulam‐Hyers stability, generalized Ulam‐Hyers stability, Ulam‐Hyers‐Rassias stability, and generalized Ulam‐Hyers‐Rassias stability. We develop conditions for existence and uniqueness by using the classical fixed point theorem. Also, two examples are provided to illustrate the obtained results.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/4e93f83df0e13425a4bdbaef744e81a23524a4d0