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Volumn 16, Issue 12, 2011, Pages 4682-4688

Caputo q-fractional initial value problems and a q-analogue Mittag-Leffler function

Author keywords

Caputo left and right q fractional derivatives; Left q fractional integral; Q Mittag Leffler function; Q operator; Right q fractional integral; Time scale

Indexed keywords

FUNCTIONS; INTEGRAL EQUATIONS;

EID: 79960269969     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.01.026     Document Type: Article
Times cited : (116)

References (16)
  • 4
    • 20244377695 scopus 로고    scopus 로고
    • The History of q-calculus and New Method. (Licentiate Thesis)
    • U.U.D.M. Report
    • Ernst T. The History of q-calculus and New Method. (Licentiate Thesis), U.U.D.M. Report 2000: http://math.uu.se/thomas/Lics.pdf.
    • (2000)
    • Ernst, T.1
  • 5
    • 79960278492 scopus 로고
    • Q-Analogues of Cauchy's formula
    • 1953
    • Al-Salam W.A. q-Analogues of Cauchy's formula. Proc Am Math Soc 1952-1953, 17:182-184.
    • (1952) Proc Am Math Soc , vol.17 , pp. 182-184
    • Al-Salam, W.A.1
  • 6
    • 0008528081 scopus 로고
    • A fractional Leibniz q-formula
    • Al-Salam W.A., Verma A. A fractional Leibniz q-formula. Pac J Math 1975, 60:1-9.
    • (1975) Pac J Math , vol.60 , pp. 1-9
    • Al-Salam, W.A.1    Verma, A.2
  • 7
    • 84974177889 scopus 로고
    • Some fractional q-integrals and q-derivatives
    • Al-Salam W.A. Some fractional q-integrals and q-derivatives. Proc Edin Math Soc 1969, 15:135-140.
    • (1969) Proc Edin Math Soc , vol.15 , pp. 135-140
    • Al-Salam, W.A.1
  • 8
    • 84971113538 scopus 로고
    • Certain fractional q-integrals and q-derivatives
    • Agrawal R.P. Certain fractional q-integrals and q-derivatives. Proc Camb Phil Soc 1969, 66:365-370.
    • (1969) Proc Camb Phil Soc , vol.66 , pp. 365-370
    • Agrawal, R.P.1
  • 11
    • 77950548183 scopus 로고    scopus 로고
    • A Transform method in discrete fractional calculus
    • Ati{dotless}ci{dotless} F.M., Eloe P.W. A Transform method in discrete fractional calculus. Int J Differ Equat 2007, 2(2):165-176.
    • (2007) Int J Differ Equat , vol.2 , Issue.2 , pp. 165-176
    • Atici, F.M.1    Eloe, P.W.2
  • 12
    • 74149083825 scopus 로고    scopus 로고
    • Initial value problems in discrete fractional calculus
    • Ati{dotless}ci{dotless} F.M., Eloe P.W. Initial value problems in discrete fractional calculus. Proc Am Math Soc 2009, 137:981-989.
    • (2009) Proc Am Math Soc , vol.137 , pp. 981-989
    • Atici, F.M.1    Eloe, P.W.2
  • 13
    • 35748962937 scopus 로고    scopus 로고
    • Fractional q-calculus on a time scale
    • Ati{dotless}ci{dotless} F.M., Eloe P.W. Fractional q-calculus on a time scale. J Nonlinear Math Phys 2007, 14(3):333-344.
    • (2007) J Nonlinear Math Phys , vol.14 , Issue.3 , pp. 333-344
    • Atici, F.M.1    Eloe, P.W.2
  • 14
    • 79960258288 scopus 로고    scopus 로고
    • Fractional differences and integration by parts
    • Abdeljawad T., Baleanu D. Fractional differences and integration by parts. J Comput Anal Appl 2011, 13(3):574-582.
    • (2011) J Comput Anal Appl , vol.13 , Issue.3 , pp. 574-582
    • Abdeljawad, T.1    Baleanu, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.