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Explicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval

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dc.contributor.authorAbdelatif Boutiara
dc.contributor.authorMaamar Benbachir
dc.contributor.authorMohammed K. A. Kaabar
dc.contributor.authorFrancisco Martínez
dc.contributor.authorMohammad Esmael Samei
dc.contributor.authorMelike Kaplan
dc.date.accessioned2026-01-04T16:35:09Z
dc.date.issued2022-03-03
dc.description.abstractAbstractIn this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions’ existence for a class of nonlinear fractional q-difference equations in the context of the Riemann–Liouville fractional q-derivative on an infinite interval. The system’s solution is formulated with the help of Green’s function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes.
dc.description.urihttps://doi.org/10.1186/s13660-022-02764-6
dc.description.urihttps://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/s13660-022-02764-6
dc.description.urihttps://dx.doi.org/10.60692/sajjk-jn079
dc.description.urihttps://dx.doi.org/10.60692/5db4q-9b026
dc.description.urihttps://zbmath.org/7512184
dc.description.urihttps://doaj.org/article/e6941987774a43789e98f3ed06e608d9
dc.identifier.doi10.1186/s13660-022-02764-6
dc.identifier.eissn1029-242X
dc.identifier.openairedoi_dedup___::ba237a29c32bf305b60c969b6a5612cb
dc.identifier.orcid0000-0002-6032-4694
dc.identifier.orcid0000-0003-3519-1153
dc.identifier.orcid0000-0003-2260-0341
dc.identifier.orcid0000-0002-3733-1239
dc.identifier.orcid0000-0002-5450-3127
dc.identifier.orcid0000-0001-5700-9127
dc.identifier.scopus2-s2.0-85126090602
dc.identifier.urihttps://hdl.handle.net/20.500.12597/39538
dc.identifier.volume2022
dc.identifier.wos000764061200001
dc.language.isoeng
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofJournal of Inequalities and Applications
dc.rightsOPEN
dc.subjectArtificial intelligence
dc.subjectClass (philosophy)
dc.subjectInterval (graph theory)
dc.subjectPositive solutions to nonlinear boundary value problems for ordinary differential equations
dc.subjectInfinite interval
dc.subjectIntegro-Differential Equations
dc.subjectContext (archaeology)
dc.subjectFractional derivatives and integrals
dc.subjectinfinite interval
dc.subjectBoundary value problem
dc.subjectexplicit iteration
dc.subjectApplied Mathematics
dc.subjectPhysics
dc.subjectfractional \(q\)-derivative
dc.subjectunbounded solution
dc.subjectNonlocal Partial Differential Equations and Boundary Value Problems
dc.subjectFractional Derivatives
dc.subjectGreen's functions for ordinary differential equations
dc.subjectModeling and Simulation
dc.subjectPhysical Sciences
dc.subjectExplicit iteration
dc.subjectUniqueness
dc.subjectFractional Differential Equations
dc.subjectFractional q-derivative
dc.subjectDifference equations, scaling (\(q\)-differences)
dc.subjectUnbounded solution
dc.subjectCompact space
dc.subjectfractional \(q\)-difference equation
dc.subjectTheory and Applications of Fractional Differential Equations
dc.subjectMathematical analysis
dc.subjectQuantum mechanics
dc.subjectFractional q-difference equation
dc.subjectQA1-939
dc.subjectFOS: Mathematics
dc.subjectBiology
dc.subjectAnomalous Diffusion Modeling and Analysis
dc.subjectFractional calculus
dc.subjectPure mathematics
dc.subjectPaleontology
dc.subjectApplied mathematics
dc.subjectComputer science
dc.subjectBoundary Value Problems
dc.subjectCombinatorics
dc.subjectNonlinear system
dc.subjectDiscrete version of topics in analysis
dc.subjectMathematics
dc.subjectNonlinear Systems
dc.subject.sdg16. Peace & justice
dc.titleExplicit iteration and unbounded solutions for fractional q–difference equations with boundary conditions on an infinite interval
dc.typeArticle
dspace.entity.typePublication
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