On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions-Reference-Cited by-同舟云学术

On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions

Published:2023-02-12 Issue:2 Volume:7 Page:181
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Tudorache Alexandru¹^ORCID,Luca Rodica²^ORCID

Affiliation:

1. Department of Computer Science and Engineering, Gh. Asachi Technical University, 700050 Iasi, Romania

2. Department of Mathematics, Gh. Asachi Technical University, 700506 Iasi, Romania

Abstract

We obtain existence and uniqueness results for the solutions of a system of Caputo fractional differential equations which contain sequential derivatives, integral terms, and two positive parameters, supplemented with general coupled Riemann–Stieltjes integral boundary conditions. The proofs of our results are based on the Banach fixed point theorem and the Leray–Schauder alternative.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/2/181/pdf

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