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Some Fractional Calculus Findings Associated With the Incomplete I-Functions

dc.contributor.author Bhatter, Sanjay
dc.contributor.author Meena, Sapna
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Al Qurashi, Maysaa
dc.contributor.author Purohit, Sunil Dutt
dc.contributor.author Jangid, Kamlesh
dc.date.accessioned 2021-01-07T11:41:08Z
dc.date.accessioned 2025-09-18T12:06:36Z
dc.date.available 2021-01-07T11:41:08Z
dc.date.available 2025-09-18T12:06:36Z
dc.date.issued 2020
dc.description Jangid, Kamlesh/0000-0002-3138-3564; Purohit, S. D./0000-0002-1098-5961 en_US
dc.description.abstract In this article, several interesting properties of the incomplete I-functions associated with the Marichev-Saigo-Maeda (MSM) fractional operators are studied and investigated. It is presented that the order of the incomplete I-functions increases about the utilization of the above-mentioned operators toward the power multiple of the incomplete I-functions. Further, the Caputo-type MSM fractional order differentiation for the incomplete I-functions is studied and investigated. Saigo, Riemann-Liouville, and Erdelyi-Kober fractional operators are also discussed as specific cases. en_US
dc.identifier.citation Jangid, Kamlesh...et al. (2020). "Some fractional calculus findings associated with the incomplete I-functions", Advances in Difference Equations, vol. 2020, No. 1. en_US
dc.identifier.doi 10.1186/s13662-020-02725-7
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85086038723
dc.identifier.uri https://doi.org/10.1186/s13662-020-02725-7
dc.identifier.uri https://hdl.handle.net/20.500.12416/10952
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 Fractional Calculus Operators en_US
dc.subject Incomplete Gamma Functions en_US
dc.subject Incomplete I-Functions en_US
dc.subject Mellin-Barnes Type Contour en_US
dc.title Some Fractional Calculus Findings Associated With the Incomplete I-Functions en_US
dc.title Some fractional calculus findings associated with the incomplete I-functions tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Jangid, Kamlesh/0000-0002-3138-3564
gdc.author.id Purohit, S. D./0000-0002-1098-5961
gdc.author.scopusid 55371756700
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Jangid, Kamlesh/T-8452-2017
gdc.author.wosid Purohit, S. D./F-3017-2011
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Jangid, Kamlesh; Purohit, Sunil Dutt] Rajasthan Tech Univ, Dept HEAS Math, Kota, India; [Bhatter, Sanjay; Meena, Sapna] Malaviya Natl Inst Technol, Dept Math, Jaipur, Rajasthan, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Al Qurashi, Maysaa] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2020 en_US
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gdc.oaire.keywords Economics
gdc.oaire.keywords Incomplete gamma functions
gdc.oaire.keywords Mellin–Barnes type contour
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Convergence Analysis of Iterative Methods for Nonlinear Equations
gdc.oaire.keywords Differential equation
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gdc.oaire.keywords Fractional calculus operators
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gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
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gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Incomplete I-functions
gdc.oaire.keywords Applied mathematics
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gdc.oaire.keywords Fractional Calculus
gdc.oaire.keywords Calculus (dental)
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gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Finance
gdc.oaire.keywords incomplete gamma functions
gdc.oaire.keywords incomplete \(I\)-functions
gdc.oaire.keywords Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions)
gdc.oaire.keywords General spectral theory of ordinary differential operators
gdc.oaire.keywords Mellin-Barnes-type contour
gdc.oaire.keywords fractional calculus operators
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gdc.publishedmonth 6
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gdc.virtual.author Baleanu, Dumitru
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