Coupled systems of $ \psi $-Hilfer generalized proportional fractional nonlocal mixed boundary value problems

Sunisa Theswan; Sotiris K. Ntouyas; Jessada Tariboon

doi:10.3934/math.20231122

journal article Jan 01, 2023

Coupled systems of $ \psi $-Hilfer generalized proportional fractional nonlocal mixed boundary value problems

Sunisa Theswan Sotiris K. Ntouyas

Jessada Tariboon

AIMS Mathematics Vol. 8 No. 9 pp. 22009-22036 · American Institute of Mathematical Sciences (AIMS)

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Abstract

<abstract>In this paper, we investigate a coupled system of Hilfer-type nonlinear proportional fractional differential equations supplemented with mixed multi-point and integro-multi-point boundary conditions. We used standard methods from functional analysis and especially fixed point theory. Two existence results are established using the Leray-Schauder's alternative and the Krasnosel'skii's fixed point theorem, while the existence of a unique solution is achieved via the Banach's contraction mapping principle. Finally, numerical examples are constructed to illustrate the main theoretical results. Our results are novel, wider in scope, produce a variety of new results as special cases and contribute to the existing literature on nonlocal systems of nonlinear $ \psi $-Hilfer generalized fractional proportional differential equations.</abstract>

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Details

Published: Jan 01, 2023
Vol/Issue: 8(9)
Pages: 22009-22036

Authors

S

Sunisa Theswan

Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

S

Sotiris K. Ntouyas

Department of Mathematics, University of Ioannina, Ioannina 45110, Greece

J

Jessada Tariboon

Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

Cite This Article

Sunisa Theswan, Sotiris K. Ntouyas, Jessada Tariboon (2023). Coupled systems of $ \psi $-Hilfer generalized proportional fractional nonlocal mixed boundary value problems. AIMS Mathematics, 8(9), 22009-22036. https://doi.org/10.3934/math.20231122

Coupled systems of $ \psi $-Hilfer generalized proportional fractional nonlocal mixed boundary value problems

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