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Monotone Iterative Method for psi-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions
Journal article   Open access  Peer reviewed

Monotone Iterative Method for psi-Caputo Fractional Differential Equation with Nonlinear Boundary Conditions

Zidane Baitiche, Choukri Derbazi, Jehad Alzabut, Mohammad Esmael Samei, Mohammed K. A. Kaabar and Zailan Siri
Fractal and fractional, Vol.5(3), p.81
01/09/2021

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
The main contribution of this paper is to prove the existence of extremal solutions for a novel class of psi-Caputo fractional differential equation with nonlinear boundary conditions. For this purpose, we utilize the well-known monotone iterative technique together with the method of upper and lower solutions. Finally, we provide an example along with graphical representations to confirm the validity of our main results.
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https://doi.org/10.3390/fractalfract5030081View
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