Title of article
Solving fractional evolution problem in Colombeau algebra by mean generalized fixed point
Author/Authors
Elomar, M. Department of Mathematics - Faculty of Sciences and Technics , Beni-Mellal, Morocco , Melliani, S. Department of Mathematics - Faculty of Sciences and Technics , Beni-Mellal, Morocco , Taqbibt, A. Department of Mathematics - Faculty of Sciences and Technics , Beni-Mellal, Morocco , Saadia Chadli, L. Department of Mathematics - Faculty of Sciences and Technics , Beni-Mellal, Morocco
Pages
14
From page
71
To page
84
Abstract
The present paper is devoted to the existence and uniqueness result of the fractional evolution equation ( ) generalized real numbers and A is an operator defined from G into itself. Here the Caputo fractional derivative Dqc is used instead of the usual derivative. The introduction of locally convex spaces is to use their topology in order to define generalized semigroups and generalized fixed points, then to show our requested result.
Keywords
Colombeau algebra , locally convexe space , generalized semigroup , generalized fixed point
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2437633
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