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Showing papers by "Juan J. Trujillo published in 1999"

Journal Article•DOI•
On a Riemann–Liouville Generalized Taylor's Formula

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Juan J. Trujillo1, Margarita Rivero1, B. Bonilla1•
University of La Laguna1
01 Mar 1999-Journal of Mathematical Analysis and Applications
TL;DR: In this article, a generalized Taylor's formula of the kindfx=∑j=0najx−a(j+1)α−1+Tnx, whereaj ∈ R,x > a, 0 ≤ α ≤ 1, is established.

140 citations

Journal Article•DOI•
Fractional Order Continuity and Some Properties about Integrability and Differentiability of Real Functions

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B. Bonilla1, Juan J. Trujillo1, Margarita Rivero1•
University of La Laguna1
01 Mar 1999-Journal of Mathematical Analysis and Applications
TL;DR: In this paper, the Riemann-Liouville fractional integral and derivative operators are studied in a function space Cα, 0 ≤ α ≤ 1, larger than the space of continuous functions.

15 citations

Journal Article•DOI•
Bessel-type functions and bessel-type integral transforms on Spaces Fp,μ and

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B. Bonilla, M. Rivero, J.J. Rodríguez, Juan J. Trujillo, Anatoly A. Kilbas 
01 Jul 1999-Integral Transforms and Special Functions
TL;DR: In this article, a study of the function being closely connected with the modified Besssl function of the third kind K ν(x), and the corresponding integral transform Liouville reactional integration and differentiation is investigated.
Abstract: The paper is devoted to a study of the function being closely connected with the modified Besssl function of the third kind K ν(x), and the corresponding integral transform Liouville reactional integration and differentiation is investigated. Two differential equations of fractional order is solved. Mapping properties of the transform and its compositions with differentiation operatiors are proved on spaces of tested and generalized functions .

4 citations