Sequential Riemann–Liouville and Hadamard–Caputo Fractional Differential Systems with Nonlocal Coupled Fractional Integral Boundary Conditions

Autor:	Chanakarn Kiataramkul, Weera Yukunthorn, Sotiris K. Ntouyas, Jessada Tariboon
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	coupled systems Riemann–Liouville fractional derivative Hadamard–Caputo fractional derivative nonlocal boundary conditions existence fixed point Mathematics QA1-939
Zdroj:	Axioms, Vol 10, Iss 3, p 174 (2021)
Druh dokumentu:	article
ISSN:	10030174 2075-1680
DOI:	10.3390/axioms10030174
Popis:	In this paper, we initiate the study of existence of solutions for a fractional differential system which contains mixed Riemann–Liouville and Hadamard–Caputo fractional derivatives, complemented with nonlocal coupled fractional integral boundary conditions. We derive necessary conditions for the existence and uniqueness of solutions of the considered system, by using standard fixed point theorems, such as Banach contraction mapping principle and Leray–Schauder alternative. Numerical examples illustrating the obtained results are also presented.
Databáze:	Directory of Open Access Journals
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