4.7 Article

A Study of Coupled Systems of ψ-Hilfer Type Sequential Fractional Differential Equations with Integro-Multipoint Boundary Conditions

Journal

FRACTAL AND FRACTIONAL
Volume 5, Issue 4, Pages -

Publisher

MDPI
DOI: 10.3390/fractalfract5040162

Keywords

psi-Hilfer fractional derivative; Riemann-Liouville fractional derivative; Caputo fractional derivative; system of fractional differential equations

Funding

  1. King Mongkut's University of Technology North Bangkok [KMUTNB-62-KNOW-30]

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This paper investigates the existence and uniqueness of solutions for a coupled system of psi-Hilfer type sequential fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions. The results are obtained using classical Banach and Krasnosel'skii's fixed point theorems and the Leray-Schauder alternative. Examples are included to demonstrate the effectiveness of the results obtained.
In this paper, the existence and uniqueness of solutions for a coupled system of psi-Hilfer type sequential fractional differential equations supplemented with nonlocal integro-multi-point boundary conditions is investigated. The presented results are obtained via the classical Banach and Krasnosel'skii's fixed point theorems and the Leray-Schauder alternative. Examples are included to illustrate the effectiveness of the obtained results.

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