Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions
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Date
2019
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Wiley
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Abstract
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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Keywords
Antiperiodic Boundary Conditions, Existence and Uniqueness of Solutions, Green's Function, Schauder's Fixed Point Theorems, Ulam-Hyers Stability
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Citation
Samina; Shah...et al. (2019). "Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions", Mathematical Methods in the Applied Sciences, Vol. 42, No. 6, pp. 2033-2042.
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Source
Mathematical Methods in the Applied Sciences
Volume
42
Issue
6
Start Page
2033
End Page
2042