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Existence and Stability Results To a Class of Fractional Random Implicit Differential Equations Involving a Generalized Hilfer Fractional Derivative

dc.contributor.author Harikrishnan, Sugumaran
dc.contributor.author Shah, Kamal
dc.contributor.author Kanagarajan, Kuppusamy
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2022-04-20T12:03:00Z
dc.date.accessioned 2025-09-18T12:06:46Z
dc.date.available 2022-04-20T12:03:00Z
dc.date.available 2025-09-18T12:06:46Z
dc.date.issued 2020
dc.description Shah, Kamal/0000-0002-8851-4844 en_US
dc.description.abstract In this paper, the existence, uniqueness and stability of random implicit fractional differential equations (RIFDs) with nonlocal condition and impulsive effect involving a generalized Hilfer fractional derivative (HFD) are discussed. The arguments are discussed via Krasnoselskii's fixed point theorems, Schaefer's fixed point theorems, Banach contraction principle and Ulam type stability. Some examples are included to ensure the abstract results. en_US
dc.identifier.citation Jarad, Fahd...et al. (2020). "Existence and stability results to a class of fractional random implicit differential equations involving a generalized hilfer fractional derivative", Discrete and Continuous Dynamical Systems - Series S, Vol. 13, No. 3, pp. 723-739. en_US
dc.identifier.doi 10.3934/dcdss.2020040
dc.identifier.issn 1937-1632
dc.identifier.issn 1937-1179
dc.identifier.scopus 2-s2.0-85078888318
dc.identifier.uri https://doi.org/10.3934/dcdss.2020040
dc.identifier.uri https://hdl.handle.net/20.500.12416/10989
dc.language.iso en en_US
dc.publisher Amer inst Mathematical Sciences-aims en_US
dc.relation.ispartof Discrete & Continuous Dynamical Systems - S
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Random Implicit Differential Equations en_US
dc.subject Generalized Hilfer Fractional Derivative en_US
dc.subject Existence en_US
dc.subject Uniqueness And Stability en_US
dc.title Existence and Stability Results To a Class of Fractional Random Implicit Differential Equations Involving a Generalized Hilfer Fractional Derivative en_US
dc.title Existence and stability results to a class of fractional random implicit differential equations involving a generalized hilfer fractional derivative tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Shah, Kamal/0000-0002-8851-4844
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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
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey; [Harikrishnan, Sugumaran] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India; [Shah, Kamal; Kanagarajan, Kuppusamy] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan en_US
gdc.description.endpage 739 en_US
gdc.description.issue 3 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.startpage 723 en_US
gdc.description.volume 13 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q3
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gdc.oaire.keywords random implicit differential equations
gdc.oaire.keywords Ordinary differential equations and systems with randomness
gdc.oaire.keywords uniqueness and stability
gdc.oaire.keywords Applications of operator theory to differential and integral equations
gdc.oaire.keywords Perturbations of ordinary differential equations
gdc.oaire.keywords generalized Hilfer fractional derivative
gdc.oaire.keywords existence
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Nonlocal and multipoint boundary value problems for ordinary differential equations
gdc.oaire.keywords Ordinary differential equations with impulses
gdc.oaire.keywords Implicit ordinary differential equations, differential-algebraic equations
gdc.oaire.popularity 1.1421323E-8
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gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 18
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gdc.scopus.citedcount 34
gdc.virtual.author Jarad, Fahd
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