Result: Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations
Title:
Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations
Authors:
Source:
Applied mathematics and computation. 217(19):7579-7587
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 51 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Equations différentielles, Ordinary differential equations, Théorie des opérateurs, Operator theory, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Analyse numérique, Numerical analysis, Análisis numérico, Equation diffusion, Diffusion equation, Ecuación difusión, Equation différentielle, Differential equation, Ecuación diferencial, Equation onde, Wave equation, Ecuación onda, Equation semi linéaire, Semi linear equation, Ecuación semi lineal, Espace Banach, Banach space, Espacio Banach, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, Opérateur borné, Bounded operator, Operador acotado, Opérateur linéaire, Linear operator, Operador lineal, 32C15, 32XX, 34XX, 35J05, 46Bxx, 47Axx, Abstract differential equation, Almost automorphic, Composition, Mild solution, Pseudo almost automorphic, Weighted pseudo almost automorphic
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Laboratoire C.E.R.E.C.M.I.A., Université des Antilles et de la Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre, Guadeloupe
ISSN:
0096-3003
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24189465
Database:
PASCAL Archive
Further Information
This paper is concerned with the existence and uniqueness of weighted pseudo almost automorphic mild solution to the semilinear fractional equation: Dxtu(t) = Au(t) + Dx-1tf(t, u(t), Bu(t)), t ∈ ℝ, 1 < α < 2 where A is a linear densely defined operator of sectorial type on a complex Banach space X and B is a bounded linear operator defined on X. Under the assumption of uniformly continuity on f, we establish a composition of weighted pseudo almost automorphic in a general Banach space and obtain existence results by means of Banach contraction mapping. The results obtained are utilized to study the existence and uniqueness of a weighted pseudo almost automorphic solution to fractional diffusion wave equation with Dirichlet conditions.