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Volumn 17, Issue 12, 2006, Pages 877-887

Fractional differential equations through Laguerre expansions in abstract spaces: Error estimates

Author keywords

Abel Volterra integral equations; Approximation of tempered convolution; Class of fractional equations in mechanics; Error estimate; Fractional differential equations; Laguerre polynomials; Tempered distributions

Indexed keywords


EID: 33845193177     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460601042571     Document Type: Article
Times cited : (8)

References (20)
  • 1
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    • Duran, A., 1990, Laguerre expansions of tempered distributions and generalized functions. Journal of Mathematical Analysis and Applications, 150, 166-180.
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    • Duran, A.1
  • 2
    • 0011277353 scopus 로고
    • On the Laguerre expansions of generalized functions
    • Pilipović, S., 1989, On the Laguerre expansions of generalized functions. Comptes Rendus Mathematique, 1, 23-27.
    • (1989) Comptes Rendus Mathematique , vol.1 , pp. 23-27
    • Pilipović, S.1
  • 4
    • 33845199261 scopus 로고
    • On the Wiener-Laguerre transform of generalized functions
    • (Katowice, 1988) (NJ, Teaneck:World Scientific Publishing)
    • Glaeske, H.-J., 1990, On the Wiener-Laguerre transform of generalized functions. Generalized Functions and Convergence (Katowice, 1988) (NJ, Teaneck:World Scientific Publishing), pp. 127-140.
    • (1990) Generalized Functions and Convergence , pp. 127-140
    • Glaeske, H.-J.1
  • 7
    • 33845210248 scopus 로고    scopus 로고
    • translation in
    • translation in Math. Notes 75(1-2), 124-130.
    • Math. Notes , vol.75 , Issue.1-2 , pp. 124-130
  • 13
    • 33845186959 scopus 로고
    • On a class of unconditional bases in Hilbert-spaces and on the problem of similarity of dissipative Volterra operators
    • Gubreev, G.M., 1994, On a class of unconditional bases in Hilbert-spaces and on the problem of similarity of dissipative Volterra operators. Russian Academy of Sciences Sbornik Mathematics, 77(1), 93-126.
    • (1994) Russian Academy of Sciences Sbornik Mathematics , vol.77 , Issue.1 , pp. 93-126
    • Gubreev, G.M.1
  • 14
    • 84963197421 scopus 로고
    • On the approximation of the delta distribution in Sobolev spaces of negative order
    • Schömburg, B., 1990, On the approximation of the delta distribution in Sobolev spaces of negative order. Applicable Analysis, 36, 89-93.
    • (1990) Applicable Analysis , vol.36 , pp. 89-93
    • Schömburg, B.1
  • 15
    • 33845232504 scopus 로고
    • Approximation of the delta function by wavelets
    • Walter, G., 1992, Approximation of the delta function by wavelets. Journal of Approximation Theory, 71, 1-15.
    • (1992) Journal of Approximation Theory , vol.71 , pp. 1-15
    • Walter, G.1
  • 16
    • 33845202402 scopus 로고    scopus 로고
    • + space into union of Banach spaces through the Laguerre expansions
    • + space into union of Banach spaces through the Laguerre expansions. Computational Methods in Applied Mathematics, 6(3), 1-9.
    • (2006) Computational Methods in Applied Mathematics , vol.6 , Issue.3 , pp. 1-9
    • Stojanović, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.