Generalized uniformly continuous solution operators and inhomogeneous fractional evolution equations with variable coefficients

Generalized uniformly continuous solution operators and inhomogeneous fractional evolution equations with variable coefficients

We consider Cauchy problem for inhomogeneous fractional evolution equations with Caputo fractional derivatives of order $0<\alpha<1$ and variable coefficients depending on $x$. In order to solve this problem we introduce generalized uniformly continuous solution operators and use them to o...

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Bibliographic Details
Main Authors: Milos Japundzic, Danijela Rajter-Ciric
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Fractional evolution equation
fractional Duhamel principle
generalized Colombeau solution operator
fractional derivative
Mittag-Leffler type function
Online Access:http://ejde.math.txstate.edu/Volumes/2017/293/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2017/293/abstr.html

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