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      KCI등재 SCOPUS

      FRACTIONAL CALCULUS OPERATORS APPLIED TO THE FUNCTION INVOLVING THE PRODUCT OF SRIVASTAVA POLYNOMIALS AND INCOMPLETE I-FUNCTIONS

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      https://www.riss.kr/link?id=A108065156

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      다국어 초록 (Multilingual Abstract)

      In this study, we investigate the Marichev-Saigo-Maeda fractional order differentiation and integral for the function pertaining the product of Srivastava polynomials and incomplete I-functions. More- over, their special cases are also depicted in ter...

      In this study, we investigate the Marichev-Saigo-Maeda fractional order differentiation and integral for the function pertaining the product of Srivastava polynomials and incomplete I-functions. More- over, their special cases are also depicted in terms of the corollaries associated with Saigo, Riemann-Liouville, and Erdelyi-Kober fractional operators.

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      참고문헌 (Reference)

      1 O.I. Marichev, "Volterra Equation of Mellin Convolution Type with a Horn Function in the Kernel" 1 : 128-129, 1974

      2 M. Saigo, "Trans. Meth. Spec. Func" 386-400, 1998

      3 A.A. Kilbas, "Theory and applications of fractional di¤erential equations. North-Holland Mathematical Studies, vol. 204" Elsevier 2006

      4 S.D. Purohit, "The impact on raise of envi-ronmental pollution and occurrence in biological populations pertaining to incomplete H-function" 2020

      5 A.M. Mathai, "The H-function theory and applications" Springer 2010

      6 C. Fox, "The G and H-functions as symmetrical Fourier kernels, Trans" 98 : 395-429, 1961

      7 K. Jangid, "Some fractional calculus …ndings associated with the incomplete I-functions" 2020 : 265-, 2020

      8 H.M. Srivastava, "Some families of the incomplete H-functions and the incomplete H-functions and associated integral transforms and op-erators of fractional calculus with applications" 25 (25): 116-138, 2018

      9 H.M. Srivastava, "On an extension of the Mittag-Le­ er function" 16 : 77-88, 1968

      10 C. Ravichandran, "New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-di¤erential equations" 125 : 194-200, 2019

      1 O.I. Marichev, "Volterra Equation of Mellin Convolution Type with a Horn Function in the Kernel" 1 : 128-129, 1974

      2 M. Saigo, "Trans. Meth. Spec. Func" 386-400, 1998

      3 A.A. Kilbas, "Theory and applications of fractional di¤erential equations. North-Holland Mathematical Studies, vol. 204" Elsevier 2006

      4 S.D. Purohit, "The impact on raise of envi-ronmental pollution and occurrence in biological populations pertaining to incomplete H-function" 2020

      5 A.M. Mathai, "The H-function theory and applications" Springer 2010

      6 C. Fox, "The G and H-functions as symmetrical Fourier kernels, Trans" 98 : 395-429, 1961

      7 K. Jangid, "Some fractional calculus …ndings associated with the incomplete I-functions" 2020 : 265-, 2020

      8 H.M. Srivastava, "Some families of the incomplete H-functions and the incomplete H-functions and associated integral transforms and op-erators of fractional calculus with applications" 25 (25): 116-138, 2018

      9 H.M. Srivastava, "On an extension of the Mittag-Le­ er function" 16 : 77-88, 1968

      10 C. Ravichandran, "New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-di¤erential equations" 125 : 194-200, 2019

      11 A. Atangana, "New fractional derivatives with nonlocal and non-singular Kernel: theory and application to heat transfer model" 20 (20): 763-769, 2016

      12 A.A. Kilbas, "H-Transforms: Theory and applications. Analytic Methods and Special Functions. An international series of monographs in mathematics, 9" Chap-man and Hall 2004

      13 V. Kiryakova, "Generalized fractional calculus and applications" Longman 1994

      14 K.S. Nisar, "Fractional calculus operators with Appell function kernels applied to Srivastava polynomials and extended Mittag-Le­ er function" 2020 : 148-, 2020

      15 Y.X. Jun, "Fractal boundary value problems for integral and di¤erential equations with local fractional operators" 19 (19): 959-966, 2015

      16 C. Cattani, "Cubically nonlinear elastic waves: wave equations and methods of analysis" 39 : 1115-1145, 2003

      17 W. Gao, "Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation" 5 (5): 507-521, 2020

      18 K. Jangid, "Certain classes of the incomplete I-functions and their properties, (communicated)"

      19 M.K. Bansal, "Application of incomplete H-functions in determination of Lambert’s law" 22 (22): 1205-1212, 2019

      20 C. Cattani, "A review on harmonic wavelets and their fractional extension" 2 (2): 224-238, 2018

      21 M. Saigo, "A remark on integral operators involving the Gauss hypergeometric func-tions" 11 (11): 135-143, 1978

      22 W. Gao, "A powerful approach for fractional Drinfeld-Sokolov-Wilson equation with Mittag-Le­ er law" 58 (58): 1301-1311, 2019

      23 D. Kumar, "A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses" 91 : 307-317, 2018

      24 A.K. Rathie, "A new generalization of generalized hypergeometric functions" 52 (52): 297-310, 1997

      25 B. Ghanbari, "A new application of fractional Atangana-Baleanu deriv-atives: designing ABC-fractional masks in image processing" 2020 : 542-, 2020

      26 J. Singh, "A fractional epidemiological model for computer viruses pertaining to a new fractional derivative" 316 : 504-515, 2018

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      공동연구자 (7)

      유사연구자 (20) 활용도상위20명

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      학술지 이력

      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2024 평가예정 해외DB학술지평가 신청대상 (해외등재 학술지 평가)
      2021-01-01 평가 등재학술지 선정 (해외등재 학술지 평가) KCI등재
      2020-12-01 평가 등재 탈락 (해외등재 학술지 평가)
      2013-10-01 평가 등재학술지 선정 (기타) KCI등재
      2011-01-01 평가 등재후보학술지 유지 (기타) KCI등재후보
      2008-04-08 학회명변경 한글명 : 장전수리과학회 -> 장전수학회(章田數學會) KCI등재후보
      2008-01-01 평가 SCOPUS 등재 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.16 0.16 0.24
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.29 0.27 0.609 0.15
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