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,...
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 |
Similar Items
-
Global existence and blow-up of generalized self-similar solutions for a space-fractional diffusion equation with mixed conditions
by: Farid Nouioua, et al.
Published: (2021-05-01) -
Analytical studies on the global existence and blow-up of solutions for a free boundary problem of two-dimensional diffusion equations of moving fractional order
by: Rabah Djemiat, et al.
Published: (2022-03-01) -
Existence of solutions for Caputo fractional iterative equations under several boundary value conditions
by: Cuiying Li, et al.
Published: (2023-01-01) -
Existence of solutions for Caputo fractional delay differential equations with nonlocal and integral boundary conditions
by: Ziyue Cui, et al.
Published: (2023-01-01) -
On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions
by: Alexandru Tudorache, et al.
Published: (2023-02-01)