Existence results of self-similar solutions to the Caputo-type's space-fractional heat equation

This paper investigates the problem of existence and uniqueness of solutions under the self-similar forms to the space-fractional heat equation. By applying the properties of Banach's fixed point theorems, Schauder's fixed point theorem and the nonlinear alternative of Leray-Schauder type,...

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Bibliographic Details
Main Authors: Bilal Basti, Noureddine Benhamidouche
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2020-02-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v15/p15_03.pdf