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

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...

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Veröffentlicht in:Fractal and fractional 2021-09, Vol.5 (3), p.81
Hauptverfasser: Baitiche, Zidane, Derbazi, Choukri, Alzabut, Jehad, Samei, Mohammad Esmael, Kaabar, Mohammed K. A., Siri, Zailan
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Sprache:eng
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Zusammenfassung: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.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract5030081