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Publication Cover
Applicable Analysis
An International Journal
Volume 70, 1998 - Issue 3-4
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Original Articles

An extension of picard-lindelöff theorem to fractional differential equationsFootnote*

N. Hayek Dpto. Análisis Matenmática, University of de La Laguna, Spain, 38271 E-mail: [email protected]View further author information
,
J. Trujillo Dpto. Análisis Matenmática, University of de La Laguna, Spain, 38271 E-mail: [email protected]View further author information
,
M. Rivero Dpto. Matenmática Fundamental, University of de La Laguna, Spain, 38271 E-mail: [email protected]View further author information
,
B. Bonilla Dpto. Análisis Matenmática, University of de La Laguna, Spain, 38271 E-mail: [email protected]View further author information
&
J.C. Moreno Dpto. Economí Aplicada, University of de La Laguna, Spain, 38271 E-mail: [email protected]
Pages 347-361 | Received 01 May 1998, Published online: 20 Jan 2011

Citations (11)

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Read on this site (1)

A.A. Kilbas & J.J. Trujillo. (2001) Differential equations of fractional order:methods results and problem —I. Applicable Analysis 78:1-2, pages 153-192.
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Articles from other publishers (10)

Jan-Christoph Schlage-Puchta. (2021) Optimal version of the Picard–Lindelöf theorem. Electronic Journal of Qualitative Theory of Differential Equations:39, pages 1-8.
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Prasiddh Trivedi, Vishwesh Vyawahare & Mukesh D Patil. (2020) Tracking Control for Fractional Order Systems with High Relative Degree Outputs. IFAC-PapersOnLine 53:1, pages 170-175.
Crossref
Loïc Bourdin. (2019) Weighted Hölder Continuity of Riemann-Liouville Fractional Integrals–Application to Regularity of Solutions to Fractional Cauchy Problems With Carathéodory Dynamics. Fractional Calculus and Applied Analysis 22:3, pages 722-749.
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H.T. Tuan, Adam Czornik, Juan J. Nieto & Michał Niezabitowski. (2019) Global attractivity for some classes of Riemann-Liouville fractional differential systems. Journal of Integral Equations and Applications 31:2.
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Amey S. Deshpande, Varsha Daftardar-Gejji & P. Vellaisamy. (2019) Analysis of intersections of trajectories of systems of linear fractional differential equations. Chaos: An Interdisciplinary Journal of Nonlinear Science 29:1.
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N.D. Cong & H.T. Tuan. (2017) Generation of nonlocal fractional dynamical systems by fractional differential equations. Journal of Integral Equations and Applications 29:4.
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Rafał Kamocki & Marek Majewski. (2015) Fractional linear control systems with Caputo derivative and their optimization. Optimal Control Applications and Methods 36:6, pages 953-967.
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M. Amairi, M. Aoun, S. Najar & M.N. Abdelkrim. (2010) A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation. Applied Mathematics and Computation 217:5, pages 2162-2168.
Crossref
B. Bonilla, M. Rivero & J.J. Trujillo. (2007) On systems of linear fractional differential equations with constant coefficients. Applied Mathematics and Computation 187:1, pages 68-78.
Crossref
Blanca Bonilla, Margarita Rivero & Juan J. Trujillo. 2007. Advances in Fractional Calculus. Advances in Fractional Calculus 77 91 .

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