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MDPI, Fractal and Fractional, 3(5), p. 81, 2021

DOI: 10.3390/fractalfract5030081

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

This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

The main contribution of this paper is to prove the existence of extremal solutions for a novel class of ψ-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.