Coupled Systems of Nonlinear Proportional Fractional Differential Equations of the Hilfer-Type with Multi-Point and Integro-Multi-Strip Boundary Conditions

In this paper, we study a coupled system of nonlinear proportional fractional differential equations of the Hilfer-type with a new kind of multi-point and integro-multi-strip boundary conditions. Results on the existence and uniqueness of the solutions are achieved by using Banach’s contraction prin...

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Bibliographic Details
Main Authors: Sotiris K. Ntouyas, Bashir Ahmad, Jessada Tariboon
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Foundations
Subjects:
Online Access:https://www.mdpi.com/2673-9321/3/2/20
Description
Summary:In this paper, we study a coupled system of nonlinear proportional fractional differential equations of the Hilfer-type with a new kind of multi-point and integro-multi-strip boundary conditions. Results on the existence and uniqueness of the solutions are achieved by using Banach’s contraction principle, the Leray–Schauder alternative and the well-known fixed-point theorem of Krasnosel’skiĭ. Finally, the main results are illustrated by constructing numerical examples.
ISSN:2673-9321