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Research Article | Open Access

Analysis on existence of system of coupled multifractional nonlinear hybrid differential equations with coupled boundary conditions

M. Latha Maheswari1, K. S. Keerthana Shri1, Mohammad Sajid2( )
Department of Mathematics, PSG College of Arts & Science, Coimbatore, Tamil Nadu, India
Department of Mechanical Engineering, College of Engineering, Qassim University, Buraydah 51452, Saudi Arabia
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Abstract

This article dealt with a class of coupled hybrid fractional differential system. It consisted of a mixed type of Caputo and Hilfer fractional derivatives with respect to two different kernel functions, ψ 1 and ψ 2 , respectively, in addition to coupled boundary conditions. The existence of the solution of the system was investigated using the Dhage fixed point theorem. Finally, an illustration was presented to validate our findings.

Keywords

ψ-Hilfer and ψ-Caputo fractional derivativeshybrid fractional differential equationsfixed point theoryexistence
CLC number: 26A33, 34A12, 34A38, 47H10

References

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AIMS Mathematics
Volume 9 Issue 6,
May 2024
Pages 13642-13658
DOI: 10.3934/math.2024666

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Cite this article:
Latha Maheswari M, Keerthana Shri KS, Sajid M. Analysis on existence of system of coupled multifractional nonlinear hybrid differential equations with coupled boundary conditions. AIMS Mathematics, 2024, 9(6): 13642-13658. https://doi.org/10.3934/math.2024666

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Received: 22 January 2024
Revised: 11 April 2024
Accepted: 11 April 2024
Published: 12 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)