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Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions
Journal article   Peer reviewed

Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions

Samina, Kamal Shah, Rahmat Ali Khan and Dumitru Baleanu
Mathematical methods in the applied sciences, Vol.42(6), pp.2033-2042
01/04/2019
DOI: https://doi.org/10.1002/mma.5496

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, the first purpose is to study existence and uniqueness of solutions to a system of implicit fractional differential equations (IFDEs) equipped with antiperiodic boundary conditions (BCs). To obtain the mentioned results, we use Schauder's and Banach fixed point theorem. The second purpose is discussing the Ulam-Hyers (UH) and generalized Ulam-Hyers (GUH) stabilities for the respective solutions. An example is provided to illustrate the established results.

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