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Application of a tripled fixed point theorem to investigate a nonlinear system of fractional order hybrid sequential integro-differential equations
oleh: Muhammed Jamil, Rahmat Ali Khan, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad
Format: | Article |
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Diterbitkan: | AIMS Press 2022-08-01 |
Deskripsi
The goal of this manuscript is to study the existence theory of solution for a nonlinear boundary value problem of tripled system of fractional order hybrid sequential integro-differential equations. The analysis depends on some results from fractional calculus and fixed point theory. As a result, we generalized Darbo's fixed point theorem to form an updated version of tripled fixed point theorem to investigate the proposed system. Also, Hyres-Ulam and generalized Hyres-Ulam stabilities results are established for the considered system. For the illustration of our main results, we provide an example.