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On an extension of Rolle's theorem to locally convex spaces

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Publication:855437
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DOI10.1016/j.jmaa.2005.11.029zbMath1120.26028OpenAlexW2073065387MaRDI QIDQ855437

Marcelo Hissakiti Kobayashi

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.029


zbMATH Keywords

locally convex spacefractional differential equationsRolle's theorem


Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractional derivatives and integrals (26A33) General theory of locally convex spaces (46A03) Calculus of functions on infinite-dimensional spaces (26E15)


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Mean Value Theorems for the Scalar Derivative and Applications



Cites Work

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  • Recent applications of fractional calculus to science and engineering
  • The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations.
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