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Volumn 2014, Issue 1, 2014, Pages

On Caputo modification of the Hadamard fractional derivatives

Author keywords

Caputo Hadamard fractional derivatives; Fundamental theorem of fractional calculus

Indexed keywords


EID: 84899642427     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1186/1687-1847-2014-10     Document Type: Article
Times cited : (222)

References (17)
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    • Butzer, PL, Kilbas, AA, Trujillo, JJ: Compositions of Hadamard-type fractional integration operators and the semigroup property. J. Math. Anal. Appl. 269, 387-400 (2002)
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    • Butzer, P.L.1    Kilbas, A.A.2    Trujillo, J.J.3
  • 10
    • 0036600668 scopus 로고    scopus 로고
    • Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
    • Butzer, PL, Kilbas, AA, Trujillo, JJ: Mellin transform analysis and integration by parts for Hadamard-type fractional integrals. J. Math. Anal. Appl. 270, 1-15 (2002)
    • (2002) J. Math. Anal. Appl. , vol.270 , pp. 1-15
    • Butzer, P.L.1    Kilbas, A.A.2    Trujillo, J.J.3
  • 11
    • 84871327547 scopus 로고    scopus 로고
    • Caputo-type modification of the Hadamard fractional derivatives
    • Jarad, F, Baleanu, D, Abdeljawad, A: Caputo-type modification of the Hadamard fractional derivatives. Adv. Differ. Equ. 2012, 142 (2012)
    • (2012) Adv. Differ. Equ. , vol.2012 , pp. 142
    • Jarad, F.1    Baleanu, D.2    Abdeljawad, A.3
  • 12
    • 84899654208 scopus 로고    scopus 로고
    • Fractional versions of the fundamental theorem of calculus
    • Eliana, CG, De Oliveira, EC: Fractional versions of the fundamental theorem of calculus. Appl. Math. 4, 23-33 (2013)
    • (2013) Appl. Math. , vol.4 , pp. 23-33
    • Eliana, C.G.1    De Oliveira, E.C.2
  • 13
    • 53049088436 scopus 로고    scopus 로고
    • Fractional vector calculus and fractional Maxwell's equations
    • Tarasov, VE: Fractional vector calculus and fractional Maxwell's equations. Ann. Phys. 323, 2756-2778 (2008)
    • (2008) Ann. Phys. , vol.323 , pp. 2756-2778
    • Tarasov, V.E.1
  • 16
    • 34247212711 scopus 로고    scopus 로고
    • Remarks on fractional derivatives
    • Changpin, LA, Weihua, D: Remarks on fractional derivatives. Appl. Math. Comput. 187, 777-784 (2007)
    • (2007) Appl. Math. Comput. , vol.187 , pp. 777-784
    • Changpin, L.A.1    Weihua, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.