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Qualitative Study of Nonlinear Coupled Pantograph Differential Equations of Fractional Order

dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.contributor.author Ahamad, Israr
dc.contributor.author Shah, Kamal
dc.date.accessioned 2022-12-07T12:01:50Z
dc.date.accessioned 2025-09-18T13:27:38Z
dc.date.available 2022-12-07T12:01:50Z
dc.date.available 2025-09-18T13:27:38Z
dc.date.issued 2020
dc.description Shah, Kamal/0000-0002-8851-4844 en_US
dc.description.abstract In this paper, we investigate a nonlinear coupled system of fractional pantograph differential equations (FPDEs). The respective results address some adequate results for existence and uniqueness of solution to the problem under consideration. In light of fixed point theorems like Banach and Krasnoselskii's, we establish the required results. Considering the tools of nonlinear analysis, we develop some results regarding Ulam-Hyers (UH) stability. We give three pertinent examples to demonstrate our main work. en_US
dc.identifier.citation Ahamad, Israr...et al. (2020). "Qualitative study of nonlinear coupled pantograph differential equations of fractional order", Fractals, Vol. 28, No. 8. en_US
dc.identifier.doi 10.1142/S0218348X20400459
dc.identifier.issn 0218-348X
dc.identifier.issn 1793-6543
dc.identifier.scopus 2-s2.0-85089373676
dc.identifier.uri https://doi.org/10.1142/S0218348X20400459
dc.identifier.uri https://hdl.handle.net/20.500.12416/13000
dc.language.iso en en_US
dc.publisher World Scientific Publ Co Pte Ltd en_US
dc.relation.ispartof Fractals
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Fpdes en_US
dc.subject Qualitative Study en_US
dc.subject Banach And Krasnoselskii&#8217 en_US
dc.subject S Fixed Point Theorems en_US
dc.subject Uh Stability Theory en_US
dc.subject Coupled System en_US
dc.title Qualitative Study of Nonlinear Coupled Pantograph Differential Equations of Fractional Order en_US
dc.title Qualitative study of nonlinear coupled pantograph differential equations of fractional order tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Shah, Kamal/0000-0002-8851-4844
gdc.author.scopusid 57220824637
gdc.author.scopusid 56708052700
gdc.author.scopusid 6508051762
gdc.author.scopusid 15622742900
gdc.author.wosid Abdeljawad, Thabet/T-8298-2018
gdc.author.wosid Jarad, Fahd/T-8333-2018
gdc.author.wosid Shah, Kamal/S-8662-2016
gdc.author.yokid 234808
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Ahamad, Israr; Shah, Kamal] Univ Malakand, Dept Math, Chakdara Dir Lower, Khyber Pakhtunk, Pakistan; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey en_US
gdc.description.issue 8 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 2040045
gdc.description.volume 28 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Fractional Differential Equations
gdc.oaire.keywords Economics
gdc.oaire.keywords FOS: Mechanical engineering
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Engineering
gdc.oaire.keywords Machine learning
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Stability (learning theory)
gdc.oaire.keywords Fixed-point theorem
gdc.oaire.keywords Nonlinear Equations
gdc.oaire.keywords Functional Differential Equations
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Piecewise Linear
gdc.oaire.keywords Order (exchange)
gdc.oaire.keywords Pantograph
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Bifurcations in Planar Polynomial Systems
gdc.oaire.keywords Physics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Computer science
gdc.oaire.keywords Mechanical engineering
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Geometry and Topology
gdc.oaire.keywords Uniqueness
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Nonlinear Systems
gdc.oaire.keywords Finance
gdc.oaire.keywords qualitative study
gdc.oaire.keywords coupled system
gdc.oaire.keywords Banach and Krasnoselskii's fixed point theorems
gdc.oaire.keywords Perturbations of functional-differential equations
gdc.oaire.keywords Applications of operator theory to differential and integral equations
gdc.oaire.keywords UH stability theory
gdc.oaire.keywords FPDEs
gdc.oaire.keywords Functional-differential equations with fractional derivatives
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gdc.opencitations.count 6
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gdc.scopus.citedcount 7
gdc.virtual.author Abdeljawad, Thabet
gdc.virtual.author Jarad, Fahd
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