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Existence, Uniqueness and Stability Analysis of a Coupled Fractional-Order Differential Systems Involving Hadamard Derivatives and Associated With Multi-Point Boundary Conditions

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Samei, Mohammad Esmael
dc.contributor.author Zada, Akbar
dc.contributor.author Subramanian, Muthaiah
dc.contributor.author Alzabut, Jehad
dc.date.accessioned 2022-04-22T08:38:45Z
dc.date.accessioned 2025-09-18T12:47:35Z
dc.date.available 2022-04-22T08:38:45Z
dc.date.available 2025-09-18T12:47:35Z
dc.date.issued 2021
dc.description Muthaiah Ph.D, Dr.Subramanian/0000-0001-5281-0935; Zada, Akbar/0000-0002-2556-2806; Samei, Mohammad Esmael/0000-0002-5450-3127; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 en_US
dc.description.abstract In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples. en_US
dc.description.sponsorship Prince Sultan University; Bu-Ali Sina University en_US
dc.description.sponsorship The authors would like to thank the editors and the anonymous reviewers for their constructive comments and suggestions that have helped to improve the present paper. J. Alzabut would like to thank Prince Sultan University for supporting this work. The fifth author was supported by Bu-Ali Sina University. en_US
dc.identifier.citation Subramanian, Muthaiah...et al. (2021). "Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions", Advances in Difference Equations, Vol. 2021, No. 1. en_US
dc.identifier.doi 10.1186/s13662-021-03414-9
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85106956626
dc.identifier.uri https://doi.org/10.1186/s13662-021-03414-9
dc.identifier.uri https://hdl.handle.net/20.500.12416/11846
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Coupled System en_US
dc.subject Fractional Differential Equations en_US
dc.subject Hadamard Derivatives en_US
dc.subject Multi-Point en_US
dc.subject Integral Boundary Conditions en_US
dc.title Existence, Uniqueness and Stability Analysis of a Coupled Fractional-Order Differential Systems Involving Hadamard Derivatives and Associated With Multi-Point Boundary Conditions en_US
dc.title Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Muthaiah Ph.D, Dr.Subramanian/0000-0001-5281-0935
gdc.author.id Zada, Akbar/0000-0002-2556-2806
gdc.author.id Samei, Mohammad Esmael/0000-0002-5450-3127
gdc.author.id Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138
gdc.author.scopusid 57205447064
gdc.author.scopusid 13105947900
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gdc.author.scopusid 24463677600
gdc.author.wosid Zada, Akbar/E-5898-2012
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Muthaiah Ph.D, Dr.Subramanian/Aax-6334-2020
gdc.author.wosid Samei, Mohammad Esmael/K-5481-2019
gdc.author.wosid Alzabut, Prof. Dr. Jehad/T-8075-2018
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gdc.coar.access open access
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Subramanian, Muthaiah] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India; [Alzabut, Jehad] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Alzabut, Jehad] Ostim Syst Univ, Fac Engn, Grp Math, TR-06374 Ankara, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Samei, Mohammad Esmael] Bu Ali Sina Univ, Dept Math, Hamadan 65175, Hamadan, Iran; [Samei, Mohammad Esmael] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Zada, Akbar] Univ Peshawar, Dept Math, Peshawar, Pakistan en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2021 en_US
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gdc.oaire.keywords Fractional differential equations
gdc.oaire.keywords Economics
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Context (archaeology)
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Numerical Methods for Singularly Perturbed Problems
gdc.oaire.keywords Coupled system
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gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Integral boundary conditions
gdc.oaire.keywords Stability (learning theory)
gdc.oaire.keywords Hadamard derivatives
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gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Hadamard transform
gdc.oaire.keywords Order (exchange)
gdc.oaire.keywords Numerical Analysis
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Paleontology
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Fixed point
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Computer science
gdc.oaire.keywords Boundary Value Problems
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Uniqueness
gdc.oaire.keywords Multi-point
gdc.oaire.keywords Finite Difference Schemes
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Finance
gdc.oaire.keywords Nonlinear boundary value problems for ordinary differential equations
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords coupled system
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords integral boundary conditions
gdc.oaire.keywords Applications of operator theory to differential and integral equations
gdc.oaire.keywords fractional differential equations
gdc.oaire.keywords multi-point
gdc.oaire.keywords Nonlocal and multipoint boundary value problems for ordinary differential equations
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gdc.publishedmonth 12
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gdc.virtual.author Baleanu, Dumitru
gdc.virtual.author Alzabut, Jehad
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