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Nonlocal Nonlinear Integrodifferential Equations of Fractional Orders

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Agarwal, Ravi P.
dc.contributor.author Debbouche, Amar
dc.date.accessioned 2017-03-13T11:34:18Z
dc.date.accessioned 2025-09-18T12:47:23Z
dc.date.available 2017-03-13T11:34:18Z
dc.date.available 2025-09-18T12:47:23Z
dc.date.issued 2012
dc.description.abstract In this paper, Schauder fixed point theorem, Gelfand-Shilov principles combined with semigroup theory are used to prove the existence of mild and strong solutions for nonlinear fractional integrodifferential equations of Sobolev type with nonlocal conditions in Banach spaces. To illustrate our abstract results, an example is given. MSC: 35A05, 34G20, 34K05, 26A33. en_US
dc.identifier.citation Debbouche, A., Baleanu, D., Agarwal, R.P. (2012). Nonlocal nonlinear integrodifferential equations of fractional orders. Boundray Value Problems. http://dx.doi.org/10.1186/1687-2770-2012-78 en_US
dc.identifier.doi 10.1186/1687-2770-2012-78
dc.identifier.issn 1687-2770
dc.identifier.scopus 2-s2.0-84866647774
dc.identifier.uri https://doi.org/10.1186/1687-2770-2012-78
dc.identifier.uri https://hdl.handle.net/20.500.12416/11792
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Boundary Value Problems
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Fractional Evolution Equation en_US
dc.subject Nonlocal Condition en_US
dc.subject Schauder'S Fixed Point Theorem en_US
dc.subject Uniformly Continuous Semigroup en_US
dc.title Nonlocal Nonlinear Integrodifferential Equations of Fractional Orders en_US
dc.title Nonlocal nonlinear integrodifferential equations of fractional orders tr_TR
dc.type Article en_US
dspace.entity.type Publication
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Agarwal, Ravi/Aeq-9823-2022
gdc.author.wosid Debbouche, Amar/J-7652-2018
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, RO-76900 Magurele, Romania; [Debbouche, Amar] Guelma Univ, Fac Sci, Dept Math, Guelma, Algeria; [Agarwal, Ravi P.] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
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gdc.description.volume 2012
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gdc.oaire.keywords Semigroup
gdc.oaire.keywords Integro-Differential Equations
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 Analytic semigroup
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gdc.oaire.keywords Schauder fixed point theorem
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gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
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gdc.oaire.keywords Algebra and Number Theory
gdc.oaire.keywords Banach space
gdc.oaire.keywords Ecology
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Physics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Sobolev space
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Nonlocal Partial Differential Equations and Boundary Value Problems
gdc.oaire.keywords Semilinear Differential Equations
gdc.oaire.keywords Picard–Lindelöf theorem
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords FOS: Biological sciences
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Analysis
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords nonlocal condition
gdc.oaire.keywords Nonlinear differential equations in abstract spaces
gdc.oaire.keywords Schauder's fixed point theorem
gdc.oaire.keywords General theory of functional-differential equations
gdc.oaire.keywords Fractional partial differential equations
gdc.oaire.keywords fractional evolution equation
gdc.oaire.keywords uniformly continuous semigroup
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gdc.opencitations.count 30
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gdc.virtual.author Baleanu, Dumitru
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